Profit Loss Discount Competitive Exams
100 questions · Mathematics
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Question 1 of 100
Find the selling price of an item marked at Rs. 1060 after successive discounts of 25% and 20%.
ExplanationSP = 1060 × (1 - 0.25) × (1 - 0.2) = 636. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 2 of 100
A man buys an item for Rs. 1970 and sells it for Rs. 1950. Find his loss percentage.
ExplanationLoss = 1970 - 1950 = 20. Loss % = (Loss/CP) × 100 = (20/1970) × 100 = 1.02%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 3 of 100
A shopkeeper buys an article for Rs. 440 and sells it for Rs. 450. What is his profit percentage?
ExplanationProfit = 450 - 440 = 10. Profit % = (Profit/CP) × 100 = (10/440) × 100 = 2.27%. Tip: Always calculate profit/loss on CP, not SP.
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Question 4 of 100
A shopkeeper buys an article for Rs. 700 and sells it for Rs. 730. What is his profit percentage?
ExplanationProfit = 730 - 700 = 30. Profit % = (Profit/CP) × 100 = (30/700) × 100 = 4.29%. Tip: Always calculate profit/loss on CP, not SP.
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Question 5 of 100
The marked price of an item is Rs. 1600. A discount of 15% is allowed. What is the selling price?
ExplanationDiscount = 15% of 1600. SP = MP - Discount. SP = 1600 × (1 - 0.15) = 1360. Tip: Discount is always calculated on Marked Price (MP).
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Question 6 of 100
By selling a book for Rs. 1020, a trader makes a profit of 50%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1020 × (100/150) = 680. Tip: Use fraction 1.5 as a multiplier: CP × 1.5 = 1020.
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Question 7 of 100
A man buys an item for Rs. 660 and sells it for Rs. 620. Find his loss percentage.
ExplanationLoss = 660 - 620 = 40. Loss % = (Loss/CP) × 100 = (40/660) × 100 = 6.06%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 8 of 100
A shopkeeper buys an article for Rs. 380 and sells it for Rs. 430. What is his profit percentage?
ExplanationProfit = 430 - 380 = 50. Profit % = (Profit/CP) × 100 = (50/380) × 100 = 13.16%. Tip: Always calculate profit/loss on CP, not SP.
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Question 9 of 100
By selling a book for Rs. 750, a trader makes a profit of 25%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 750 × (100/125) = 600. Tip: Use fraction 1.25 as a multiplier: CP × 1.25 = 750.
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Question 10 of 100
Find the selling price of an item marked at Rs. 4800 after successive discounts of 25% and 20%.
ExplanationSP = 4800 × (1 - 0.25) × (1 - 0.2) = 2880. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 11 of 100
The marked price of an item is Rs. 1150. A discount of 20% is allowed. What is the selling price?
ExplanationDiscount = 20% of 1150. SP = MP - Discount. SP = 1150 × (1 - 0.2) = 920. Tip: Discount is always calculated on Marked Price (MP).
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Question 12 of 100
The marked price of an item is Rs. 1260. A discount of 15% is allowed. What is the selling price?
ExplanationDiscount = 15% of 1260. SP = MP - Discount. SP = 1260 × (1 - 0.15) = 1071. Tip: Discount is always calculated on Marked Price (MP).
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Question 13 of 100
A man buys an item for Rs. 1350 and sells it for Rs. 1310. Find his loss percentage.
ExplanationLoss = 1350 - 1310 = 40. Loss % = (Loss/CP) × 100 = (40/1350) × 100 = 2.96%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 14 of 100
By selling a book for Rs. 1530, a trader makes a profit of 50%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1530 × (100/150) = 1020. Tip: Use fraction 1.5 as a multiplier: CP × 1.5 = 1530.
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Question 15 of 100
By selling a book for Rs. 390, a trader makes a profit of 50%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 390 × (100/150) = 260. Tip: Use fraction 1.5 as a multiplier: CP × 1.5 = 390.
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Question 16 of 100
Find the selling price of an item marked at Rs. 3970 after successive discounts of 20% and 10%. (Answer to the nearest rupee.)
ExplanationSP = 3970 × (1 - 0.2) × (1 - 0.1) = 2858.4 ≈ 2858. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 28% here.
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Question 17 of 100
Find the selling price of an item marked at Rs. 1130 after successive discounts of 25% and 20%.
ExplanationSP = 1130 × (1 - 0.25) × (1 - 0.2) = 678. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 18 of 100
By selling a book for Rs. 1584, a trader makes a profit of 10%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1584 × (100/110) = 1440. Tip: Use fraction 1.1 as a multiplier: CP × 1.1 = 1584.
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Question 19 of 100
By selling a book for Rs. 948, a trader makes a profit of 20%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 948 × (100/120) = 790. Tip: Use fraction 1.2 as a multiplier: CP × 1.2 = 948.
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Question 20 of 100
By selling a book for Rs. 297, a trader makes a profit of 10%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 297 × (100/110) = 270. Tip: Use fraction 1.1 as a multiplier: CP × 1.1 = 297.
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Question 21 of 100
A shopkeeper buys an article for Rs. 690 and sells it for Rs. 740. What is his profit percentage?
ExplanationProfit = 740 - 690 = 50. Profit % = (Profit/CP) × 100 = (50/690) × 100 = 7.25%. Tip: Always calculate profit/loss on CP, not SP.
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Question 22 of 100
The marked price of an item is Rs. 870. A discount of 20% is allowed. What is the selling price?
ExplanationDiscount = 20% of 870. SP = MP - Discount. SP = 870 × (1 - 0.2) = 696. Tip: Discount is always calculated on Marked Price (MP).
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Question 23 of 100
The marked price of an item is Rs. 700. A discount of 5% is allowed. What is the selling price?
ExplanationDiscount = 5% of 700. SP = MP - Discount. SP = 700 × (1 - 0.05) = 665. Tip: Discount is always calculated on Marked Price (MP).
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Question 24 of 100
By selling a book for Rs. 1331, a trader makes a profit of 10%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1331 × (100/110) = 1210. Tip: Use fraction 1.1 as a multiplier: CP × 1.1 = 1331.
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Question 25 of 100
The marked price of an item is Rs. 1830. A discount of 5% is allowed. What is the selling price?
ExplanationDiscount = 5% of 1830. SP = MP - Discount. SP = 1830 × (1 - 0.05) = 1738.5. Tip: Discount is always calculated on Marked Price (MP).
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Question 26 of 100
A man buys an item for Rs. 1020 and sells it for Rs. 1010. Find his loss percentage.
ExplanationLoss = 1020 - 1010 = 10. Loss % = (Loss/CP) × 100 = (10/1020) × 100 = 0.98%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 27 of 100
By selling a book for Rs. 1713, a trader makes a profit of 15%. Find the Cost Price (CP). (Answer to the nearest rupee.)
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1713 × (100/115) = 1489.57 ≈ 1490. Tip: Use fraction 1.15 as a multiplier: CP × 1.15 = 1713.
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Question 28 of 100
The marked price of an item is Rs. 1850. A discount of 10% is allowed. What is the selling price?
ExplanationDiscount = 10% of 1850. SP = MP - Discount. SP = 1850 × (1 - 0.1) = 1665. Tip: Discount is always calculated on Marked Price (MP).
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Question 29 of 100
Find the selling price of an item marked at Rs. 2150 after successive discounts of 10% and 20%.
ExplanationSP = 2150 × (1 - 0.1) × (1 - 0.2) = 1548. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 28% here.
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Question 30 of 100
A man buys an item for Rs. 520 and sells it for Rs. 480. Find his loss percentage.
ExplanationLoss = 520 - 480 = 40. Loss % = (Loss/CP) × 100 = (40/520) × 100 = 7.69%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 31 of 100
Find the selling price of an item marked at Rs. 3970 after successive discounts of 25% and 20%.
ExplanationSP = 3970 × (1 - 0.25) × (1 - 0.2) = 2382. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 32 of 100
A shopkeeper buys an article for Rs. 140 and sells it for Rs. 150. What is his profit percentage?
ExplanationProfit = 150 - 140 = 10. Profit % = (Profit/CP) × 100 = (10/140) × 100 = 7.14%. Tip: Always calculate profit/loss on CP, not SP.
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Question 33 of 100
A man buys an item for Rs. 1110 and sells it for Rs. 1090. Find his loss percentage.
ExplanationLoss = 1110 - 1090 = 20. Loss % = (Loss/CP) × 100 = (20/1110) × 100 = 1.8%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 34 of 100
A man buys an item for Rs. 810 and sells it for Rs. 770. Find his loss percentage.
ExplanationLoss = 810 - 770 = 40. Loss % = (Loss/CP) × 100 = (40/810) × 100 = 4.94%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 35 of 100
By selling a book for Rs. 724, a trader makes a profit of 15%. Find the Cost Price (CP). (Answer to the nearest rupee.)
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 724 × (100/115) = 629.57 ≈ 630. Tip: Use fraction 1.15 as a multiplier: CP × 1.15 = 724.
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Question 36 of 100
A dishonest dealer professes to sell his goods at cost price, but uses a weight of 800 grams for a kg weight. Find his gain percent.
ExplanationError = 1000 - 800 = 200g. Gain % = [Error / (True Value - Error)] × 100 = (200/800) × 100 = 25.0%. Tip: Gain is on the ACTUAL weight given, not the claimed weight.
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Question 37 of 100
By selling a book for Rs. 1441, a trader makes a profit of 10%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1441 × (100/110) = 1310. Tip: Use fraction 1.1 as a multiplier: CP × 1.1 = 1441.
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Question 38 of 100
A shopkeeper buys an article for Rs. 630 and sells it for Rs. 670. What is his profit percentage?
ExplanationProfit = 670 - 630 = 40. Profit % = (Profit/CP) × 100 = (40/630) × 100 = 6.35%. Tip: Always calculate profit/loss on CP, not SP.
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Question 39 of 100
A man buys an item for Rs. 810 and sells it for Rs. 800. Find his loss percentage.
ExplanationLoss = 810 - 800 = 10. Loss % = (Loss/CP) × 100 = (10/810) × 100 = 1.23%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 40 of 100
Find the selling price of an item marked at Rs. 2950 after successive discounts of 10% and 20%.
ExplanationSP = 2950 × (1 - 0.1) × (1 - 0.2) = 2124. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 28% here.
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Question 41 of 100
The marked price of an item is Rs. 1770. A discount of 5% is allowed. What is the selling price?
ExplanationDiscount = 5% of 1770. SP = MP - Discount. SP = 1770 × (1 - 0.05) = 1681.5. Tip: Discount is always calculated on Marked Price (MP).
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Question 42 of 100
A man buys an item for Rs. 720 and sells it for Rs. 710. Find his loss percentage.
ExplanationLoss = 720 - 710 = 10. Loss % = (Loss/CP) × 100 = (10/720) × 100 = 1.39%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 43 of 100
By selling a book for Rs. 1562, a trader makes a profit of 25%. Find the Cost Price (CP). (Answer to the nearest rupee.)
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1562 × (100/125) = 1249.6 ≈ 1250. Tip: Use fraction 1.25 as a multiplier: CP × 1.25 = 1562.
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Question 44 of 100
The marked price of an item is Rs. 1230. A discount of 10% is allowed. What is the selling price?
ExplanationDiscount = 10% of 1230. SP = MP - Discount. SP = 1230 × (1 - 0.1) = 1107. Tip: Discount is always calculated on Marked Price (MP).
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Question 45 of 100
The marked price of an item is Rs. 1980. A discount of 10% is allowed. What is the selling price?
ExplanationDiscount = 10% of 1980. SP = MP - Discount. SP = 1980 × (1 - 0.1) = 1782. Tip: Discount is always calculated on Marked Price (MP).
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Question 46 of 100
A man buys an item for Rs. 700 and sells it for Rs. 690. Find his loss percentage.
ExplanationLoss = 700 - 690 = 10. Loss % = (Loss/CP) × 100 = (10/700) × 100 = 1.43%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 47 of 100
The marked price of an item is Rs. 1470. A discount of 10% is allowed. What is the selling price?
ExplanationDiscount = 10% of 1470. SP = MP - Discount. SP = 1470 × (1 - 0.1) = 1323. Tip: Discount is always calculated on Marked Price (MP).
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Question 48 of 100
The marked price of an item is Rs. 1830. A discount of 10% is allowed. What is the selling price?
ExplanationDiscount = 10% of 1830. SP = MP - Discount. SP = 1830 × (1 - 0.1) = 1647. Tip: Discount is always calculated on Marked Price (MP).
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Question 49 of 100
A man buys an item for Rs. 1310 and sells it for Rs. 1280. Find his loss percentage.
ExplanationLoss = 1310 - 1280 = 30. Loss % = (Loss/CP) × 100 = (30/1310) × 100 = 2.29%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 50 of 100
The marked price of an item is Rs. 1440. A discount of 30% is allowed. What is the selling price?
ExplanationDiscount = 30% of 1440. SP = MP - Discount. SP = 1440 × (1 - 0.3) = 1008. Tip: Discount is always calculated on Marked Price (MP).
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Question 51 of 100
By selling a book for Rs. 840, a trader makes a profit of 20%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 840 × (100/120) = 700. Tip: Use fraction 1.2 as a multiplier: CP × 1.2 = 840.
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Question 52 of 100
A shopkeeper buys an article for Rs. 600 and sells it for Rs. 640. What is his profit percentage?
ExplanationProfit = 640 - 600 = 40. Profit % = (Profit/CP) × 100 = (40/600) × 100 = 6.67%. Tip: Always calculate profit/loss on CP, not SP.
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Question 53 of 100
Find the selling price of an item marked at Rs. 3600 after successive discounts of 25% and 20%.
ExplanationSP = 3600 × (1 - 0.25) × (1 - 0.2) = 2160. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 54 of 100
The marked price of an item is Rs. 1590. A discount of 20% is allowed. What is the selling price?
ExplanationDiscount = 20% of 1590. SP = MP - Discount. SP = 1590 × (1 - 0.2) = 1272. Tip: Discount is always calculated on Marked Price (MP).
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Question 55 of 100
A shopkeeper buys an article for Rs. 990 and sells it for Rs. 1000. What is his profit percentage?
ExplanationProfit = 1000 - 990 = 10. Profit % = (Profit/CP) × 100 = (10/990) × 100 = 1.01%. Tip: Always calculate profit/loss on CP, not SP.
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Question 56 of 100
Find the selling price of an item marked at Rs. 2100 after successive discounts of 25% and 20%.
ExplanationSP = 2100 × (1 - 0.25) × (1 - 0.2) = 1260. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 57 of 100
A shopkeeper buys an article for Rs. 500 and sells it for Rs. 520. What is his profit percentage?
ExplanationProfit = 520 - 500 = 20. Profit % = (Profit/CP) × 100 = (20/500) × 100 = 4.0%. Tip: Always calculate profit/loss on CP, not SP.
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Question 58 of 100
Find the selling price of an item marked at Rs. 2330 after successive discounts of 10% and 20%. (Answer to the nearest rupee.)
ExplanationSP = 2330 × (1 - 0.1) × (1 - 0.2) = 1677.6 ≈ 1678. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 28% here.
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Question 59 of 100
The marked price of an item is Rs. 1160. A discount of 30% is allowed. What is the selling price?
ExplanationDiscount = 30% of 1160. SP = MP - Discount. SP = 1160 × (1 - 0.3) = 812. Tip: Discount is always calculated on Marked Price (MP).
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Question 60 of 100
By selling a book for Rs. 1144, a trader makes a profit of 10%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1144 × (100/110) = 1040. Tip: Use fraction 1.1 as a multiplier: CP × 1.1 = 1144.
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Question 61 of 100
A dishonest dealer professes to sell his goods at cost price, but uses a weight of 900 grams for a kg weight. Find his gain percent.
ExplanationError = 1000 - 900 = 100g. Gain % = [Error / (True Value - Error)] × 100 = (100/900) × 100 = 11.11%. Tip: Gain is on the ACTUAL weight given, not the claimed weight.
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Question 62 of 100
Find the selling price of an item marked at Rs. 1260 after successive discounts of 10% and 20%. (Answer to the nearest rupee.)
ExplanationSP = 1260 × (1 - 0.1) × (1 - 0.2) = 907.2 ≈ 907. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 28% here.
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Question 63 of 100
The marked price of an item is Rs. 1180. A discount of 30% is allowed. What is the selling price?
ExplanationDiscount = 30% of 1180. SP = MP - Discount. SP = 1180 × (1 - 0.3) = 826. Tip: Discount is always calculated on Marked Price (MP).
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Question 64 of 100
By selling a book for Rs. 804, a trader makes a profit of 20%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 804 × (100/120) = 670. Tip: Use fraction 1.2 as a multiplier: CP × 1.2 = 804.
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Question 65 of 100
A shopkeeper buys an article for Rs. 290 and sells it for Rs. 320. What is his profit percentage?
ExplanationProfit = 320 - 290 = 30. Profit % = (Profit/CP) × 100 = (30/290) × 100 = 10.34%. Tip: Always calculate profit/loss on CP, not SP.
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Question 66 of 100
A man buys an item for Rs. 1480 and sells it for Rs. 1440. Find his loss percentage.
ExplanationLoss = 1480 - 1440 = 40. Loss % = (Loss/CP) × 100 = (40/1480) × 100 = 2.7%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 67 of 100
Find the selling price of an item marked at Rs. 2420 after successive discounts of 20% and 10%. (Answer to the nearest rupee.)
ExplanationSP = 2420 × (1 - 0.2) × (1 - 0.1) = 1742.4 ≈ 1742. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 28% here.
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Question 68 of 100
Find the selling price of an item marked at Rs. 2560 after successive discounts of 25% and 20%.
ExplanationSP = 2560 × (1 - 0.25) × (1 - 0.2) = 1536. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 69 of 100
A man buys an item for Rs. 590 and sells it for Rs. 580. Find his loss percentage.
ExplanationLoss = 590 - 580 = 10. Loss % = (Loss/CP) × 100 = (10/590) × 100 = 1.69%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 70 of 100
A man buys an item for Rs. 620 and sells it for Rs. 610. Find his loss percentage.
ExplanationLoss = 620 - 610 = 10. Loss % = (Loss/CP) × 100 = (10/620) × 100 = 1.61%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 71 of 100
A shopkeeper buys an article for Rs. 230 and sells it for Rs. 280. What is his profit percentage?
ExplanationProfit = 280 - 230 = 50. Profit % = (Profit/CP) × 100 = (50/230) × 100 = 21.74%. Tip: Always calculate profit/loss on CP, not SP.
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Question 72 of 100
By selling a book for Rs. 1812, a trader makes a profit of 25%. Find the Cost Price (CP). (Answer to the nearest rupee.)
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1812 × (100/125) = 1449.6 ≈ 1450. Tip: Use fraction 1.25 as a multiplier: CP × 1.25 = 1812.
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Question 73 of 100
The marked price of an item is Rs. 1020. A discount of 10% is allowed. What is the selling price?
ExplanationDiscount = 10% of 1020. SP = MP - Discount. SP = 1020 × (1 - 0.1) = 918. Tip: Discount is always calculated on Marked Price (MP).
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Question 74 of 100
The marked price of an item is Rs. 1360. A discount of 15% is allowed. What is the selling price?
ExplanationDiscount = 15% of 1360. SP = MP - Discount. SP = 1360 × (1 - 0.15) = 1156. Tip: Discount is always calculated on Marked Price (MP).
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Question 75 of 100
A man buys an item for Rs. 540 and sells it for Rs. 500. Find his loss percentage.
ExplanationLoss = 540 - 500 = 40. Loss % = (Loss/CP) × 100 = (40/540) × 100 = 7.41%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 76 of 100
By selling a book for Rs. 925, a trader makes a profit of 25%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 925 × (100/125) = 740. Tip: Use fraction 1.25 as a multiplier: CP × 1.25 = 925.
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Question 77 of 100
Find the selling price of an item marked at Rs. 3930 after successive discounts of 25% and 20%.
ExplanationSP = 3930 × (1 - 0.25) × (1 - 0.2) = 2358. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 78 of 100
A shopkeeper buys an article for Rs. 290 and sells it for Rs. 310. What is his profit percentage?
ExplanationProfit = 310 - 290 = 20. Profit % = (Profit/CP) × 100 = (20/290) × 100 = 6.9%. Tip: Always calculate profit/loss on CP, not SP.
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Question 79 of 100
A man buys an item for Rs. 800 and sells it for Rs. 760. Find his loss percentage.
ExplanationLoss = 800 - 760 = 40. Loss % = (Loss/CP) × 100 = (40/800) × 100 = 5.0%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 80 of 100
A dishonest dealer professes to sell his goods at cost price, but uses a weight of 850 grams for a kg weight. Find his gain percent.
ExplanationError = 1000 - 850 = 150g. Gain % = [Error / (True Value - Error)] × 100 = (150/850) × 100 = 17.65%. Tip: Gain is on the ACTUAL weight given, not the claimed weight.
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Question 81 of 100
By selling a book for Rs. 462, a trader makes a profit of 10%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 462 × (100/110) = 420. Tip: Use fraction 1.1 as a multiplier: CP × 1.1 = 462.
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Question 82 of 100
By selling a book for Rs. 675, a trader makes a profit of 50%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 675 × (100/150) = 450. Tip: Use fraction 1.5 as a multiplier: CP × 1.5 = 675.
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Question 83 of 100
The marked price of an item is Rs. 1300. A discount of 15% is allowed. What is the selling price?
ExplanationDiscount = 15% of 1300. SP = MP - Discount. SP = 1300 × (1 - 0.15) = 1105. Tip: Discount is always calculated on Marked Price (MP).
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Question 84 of 100
By selling a book for Rs. 737, a trader makes a profit of 10%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 737 × (100/110) = 670. Tip: Use fraction 1.1 as a multiplier: CP × 1.1 = 737.
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Question 85 of 100
Find the selling price of an item marked at Rs. 2820 after successive discounts of 10% and 20%. (Answer to the nearest rupee.)
ExplanationSP = 2820 × (1 - 0.1) × (1 - 0.2) = 2030.4 ≈ 2030. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 28% here.
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Question 86 of 100
A man buys an item for Rs. 660 and sells it for Rs. 630. Find his loss percentage.
ExplanationLoss = 660 - 630 = 30. Loss % = (Loss/CP) × 100 = (30/660) × 100 = 4.55%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 87 of 100
By selling a book for Rs. 1080, a trader makes a profit of 20%. Find the Cost Price (CP).
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1080 × (100/120) = 900. Tip: Use fraction 1.2 as a multiplier: CP × 1.2 = 1080.
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Question 88 of 100
A shopkeeper buys an article for Rs. 580 and sells it for Rs. 600. What is his profit percentage?
ExplanationProfit = 600 - 580 = 20. Profit % = (Profit/CP) × 100 = (20/580) × 100 = 3.45%. Tip: Always calculate profit/loss on CP, not SP.
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Question 89 of 100
A shopkeeper buys an article for Rs. 230 and sells it for Rs. 250. What is his profit percentage?
ExplanationProfit = 250 - 230 = 20. Profit % = (Profit/CP) × 100 = (20/230) × 100 = 8.7%. Tip: Always calculate profit/loss on CP, not SP.
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Question 90 of 100
A dishonest dealer professes to sell his goods at cost price, but uses a weight of 950 grams for a kg weight. Find his gain percent.
ExplanationError = 1000 - 950 = 50g. Gain % = [Error / (True Value - Error)] × 100 = (50/950) × 100 = 5.26%. Tip: Gain is on the ACTUAL weight given, not the claimed weight.
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Question 91 of 100
Find the selling price of an item marked at Rs. 2500 after successive discounts of 25% and 20%.
ExplanationSP = 2500 × (1 - 0.25) × (1 - 0.2) = 1500. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 40% here.
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Question 92 of 100
A shopkeeper buys an article for Rs. 680 and sells it for Rs. 720. What is his profit percentage?
ExplanationProfit = 720 - 680 = 40. Profit % = (Profit/CP) × 100 = (40/680) × 100 = 5.88%. Tip: Always calculate profit/loss on CP, not SP.
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Question 93 of 100
A man buys an item for Rs. 1900 and sells it for Rs. 1880. Find his loss percentage.
ExplanationLoss = 1900 - 1880 = 20. Loss % = (Loss/CP) × 100 = (20/1900) × 100 = 1.05%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 94 of 100
A shopkeeper buys an article for Rs. 760 and sells it for Rs. 810. What is his profit percentage?
ExplanationProfit = 810 - 760 = 50. Profit % = (Profit/CP) × 100 = (50/760) × 100 = 6.58%. Tip: Always calculate profit/loss on CP, not SP.
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Question 95 of 100
A man buys an item for Rs. 1320 and sells it for Rs. 1310. Find his loss percentage.
ExplanationLoss = 1320 - 1310 = 10. Loss % = (Loss/CP) × 100 = (10/1320) × 100 = 0.76%. Tip: Like profit, loss is always calculated on the Cost Price.
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Question 96 of 100
Find the selling price of an item marked at Rs. 3770 after successive discounts of 15% and 10%. (Answer to the nearest rupee.)
ExplanationSP = 3770 × (1 - 0.15) × (1 - 0.1) = 2884.05 ≈ 2884. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 23.5% here.
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Question 97 of 100
Find the selling price of an item marked at Rs. 2440 after successive discounts of 30% and 20%. (Answer to the nearest rupee.)
ExplanationSP = 2440 × (1 - 0.3) × (1 - 0.2) = 1366.4 ≈ 1366. Tip: Successive discounts a% and b% equal a single discount of (a + b - ab/100)%, which is 44% here.
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Question 98 of 100
A shopkeeper buys an article for Rs. 460 and sells it for Rs. 470. What is his profit percentage?
ExplanationProfit = 470 - 460 = 10. Profit % = (Profit/CP) × 100 = (10/460) × 100 = 2.17%. Tip: Always calculate profit/loss on CP, not SP.
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Question 99 of 100
By selling a book for Rs. 1000, a trader makes a profit of 15%. Find the Cost Price (CP). (Answer to the nearest rupee.)
ExplanationCP = SP × [100 / (100 + Profit%)]. CP = 1000 × (100/115) = 869.57 ≈ 870. Tip: Use fraction 1.15 as a multiplier: CP × 1.15 = 1000.
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Question 100 of 100
The marked price of an item is Rs. 1930. A discount of 30% is allowed. What is the selling price?
ExplanationDiscount = 30% of 1930. SP = MP - Discount. SP = 1930 × (1 - 0.3) = 1351. Tip: Discount is always calculated on Marked Price (MP).
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