Partnership Competitive Exams
50 questions · Mathematics
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Question 1 of 50
Three partners invest in the ratio 2 : 3 : 4 with total capital Rs 45,000. The capital of the second partner is
ExplanationSecond partner = 3/9 x 45,000 = Rs 15,000.
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Question 2 of 50
A (the working partner) invests Rs 5,000 and B (a sleeping partner) invests Rs 15,000. A gets 10% of the profit for managing, and the rest is shared in the capital ratio. If the profit is Rs 20,000, A gets in all
ExplanationA's management share = 2,000. Remaining 18,000 is split 1 : 3, so A gets 4,500. Total = Rs 6,500.
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Question 3 of 50
A starts with Rs 4,000. After 6 months B joins with Rs 5,000. The ratio of their profits at the end of the year is
ExplanationA: 4,000 x 12 = 48,000; B: 5,000 x 6 = 30,000. Ratio = 48 : 30 = 8 : 5.
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Question 4 of 50
Three partners invest Rs 5,000, Rs 7,000 and Rs 8,000. From a total profit of Rs 10,000, C's share is
ExplanationTotal capital = 20,000; C's share = 8/20 x 10,000 = Rs 4,000.
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Question 5 of 50
A manages a business and gets 5% commission on the profit, and the remaining profit is shared equally with B (equal capitals). If the profit is Rs 40,000, A's total is
ExplanationCommission = 2,000. Remaining 38,000 is shared equally = 19,000. A's total = Rs 21,000.
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Question 6 of 50
A invests Rs 15,000 for 8 months and B invests Rs 10,000 for x months. If their profits are equal, x is
Explanation15,000 x 8 = 120,000, so 10,000 x x = 120,000 and x = 12 months.
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Question 7 of 50
A invests Rs 10,000 at the start and adds Rs 5,000 after 6 months. B invests Rs 15,000 for the whole year. From a profit of Rs 22,000, A's share is
ExplanationA: 10 x 6 + 15 x 6 = 150; B: 15 x 12 = 180. Ratio = 5 : 6; A = 5/11 x 22,000 = Rs 10,000.
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Question 8 of 50
A invests Rs 8,000 for the whole year and B joins after 6 months. At year end the profit is divided 2 : 1 between A and B. B's capital is
ExplanationA: 96,000. B: 6x. 96,000 : 6x = 2 : 1, so 6x = 48,000 and x = Rs 8,000.
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Question 9 of 50
A, B and C share profit in the ratio 4 : 3 : 2. If B's share is Rs 6,000 less than A's, the total profit is
ExplanationA - B = 1 part = 6,000. Total = 9 parts = Rs 54,000.
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Question 10 of 50
A invests Rs 5,000 for 12 months and B invests Rs 6,000 for 10 months. The ratio of their profits is
ExplanationA: 60,000; B: 60,000. The ratio is 1 : 1.
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Question 11 of 50
A invests Rs 6,000 for 12 months. B wants an equal share of profit but invests for only 6 months. B must invest
ExplanationA's capital-months = 72,000; B needs 72,000 / 6 = Rs 12,000.
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Question 12 of 50
A starts a business with Rs 10,000. After 4 months B joins with Rs 15,000. At the end of the year the profit is Rs 21,000. A's share is
ExplanationA: 10,000 x 12 = 120,000; B: 15,000 x 8 = 120,000. Equal ratio, so A gets Rs 10,500.
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Question 13 of 50
A and B share profits in the ratio 5 : 3. C is admitted for 1/4 share, the rest being shared by A and B in the old ratio. A's new share is
ExplanationA's new share = 3/4 x 5/8 = 15/32.
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Question 14 of 50
A, B and C share profits in the ratio 5 : 3 : 2. C retires and A and B share his portion in the ratio 2 : 1. The new profit ratio of A : B is
ExplanationC's 1/5 is split 2:1, so A gets 2/15 more and B gets 1/15 more. A = 1/2 + 2/15 = 19/30; B = 3/10 + 1/15 = 11/30.
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Question 15 of 50
A invests Rs 20,000 and B invests Rs 30,000. After 4 months A adds Rs 10,000 and B withdraws Rs 10,000. If the annual profit is Rs 30,000, A's share is
ExplanationA: 20 x 4 + 30 x 8 = 320; B: 30 x 4 + 20 x 8 = 280. Ratio = 8 : 7; A = 8/15 x 30,000 = Rs 16,000.
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Question 16 of 50
A invests Rs 7,000 for 6 months and B invests Rs 6,000 for 9 months. The ratio of their profits is
ExplanationA: 42,000; B: 54,000. Ratio = 42 : 54 = 7 : 9.
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Question 17 of 50
The capitals of A and B are in the ratio 3 : 5. A invests for 12 months and B for x months, and the profit ratio is 9 : 10. Then x is
Explanation3 x 12 : 5x = 9 : 10, so 36 x 10 = 45x and x = 8.
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Question 18 of 50
A and B invest Rs 25,000 and Rs 35,000. From a profit of Rs 30,000, 20% goes to charity and the rest is shared in the capital ratio. B's share is
ExplanationRemaining = 24,000; B's share = 35/60 x 24,000 = Rs 14,000.
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Question 19 of 50
Two partners share profits equally. If the total profit is Rs 18,000, each partner gets
ExplanationEqual sharing means each gets 18,000 / 2 = Rs 9,000.
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Question 20 of 50
A and B invest in the ratio 1 : 2. If the total profit is Rs 6,000, B's share is
ExplanationB's share = 2/3 x 6,000 = Rs 4,000.
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Question 21 of 50
A partner who invests capital but takes no part in management is called a
ExplanationA working (active) partner manages the business, while a sleeping partner does not.
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Question 22 of 50
A and B invest Rs 15,000 and Rs 25,000 for one year. If the profit is Rs 12,000, A's share is
ExplanationA's share = 15/40 x 12,000 = Rs 4,500.
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Question 23 of 50
A and B share profits in the ratio 3 : 2. If the total profit is Rs 15,000, B's share is
ExplanationB's share = 2/5 x 15,000 = Rs 6,000.
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Question 24 of 50
Three partners invest Rs 6,000, Rs 8,000 and Rs 10,000. From a profit of Rs 12,000, how much more does C get than A?
ExplanationA gets 6/24 x 12,000 = 3,000; C gets 10/24 x 12,000 = 5,000. The difference is Rs 2,000.
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Question 25 of 50
A invests Rs 40,000, B joins after 4 months with Rs 60,000 and C joins after 8 months with Rs 20,000. If the annual profit is Rs 13,000, C's share is
ExplanationA: 480; B: 480; C: 20 x 4 = 80 (in thousands). Ratio = 6 : 6 : 1; C = 1/13 x 13,000 = Rs 1,000.
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Question 26 of 50
A and B share profit in the ratio 2 : 3. If the profit increases by Rs 20,000, B's share increases by
ExplanationB's share of the increase = 3/5 x 20,000 = Rs 12,000.
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Question 27 of 50
A, B and C share profits in the proportion 1/2 : 1/3 : 1/6. Their ratio is
ExplanationMultiply each fraction by 6: 3 : 2 : 1.
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Question 28 of 50
A and B invest Rs 50,000 and Rs 30,000 for the same period and share profit in the capital ratio. If the profit is Rs 24,000, the difference between their shares is
ExplanationA gets 5/8 x 24,000 = 15,000 and B gets 9,000, so the difference is Rs 6,000.
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Question 29 of 50
A and B invest Rs 30,000 and Rs 20,000. A gets a salary of Rs 1,000 per month, and the remaining profit is shared in the capital ratio. If the annual profit is Rs 60,000, B's share is
ExplanationSalary = 12,000. Remaining 48,000 is divided 3 : 2, so B gets 2/5 x 48,000 = Rs 19,200.
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Question 30 of 50
A invests Rs 15,000 and B invests Rs 20,000. After 6 months each adds Rs 5,000. If the annual profit is Rs 16,000, A's share is
ExplanationA: 15 x 6 + 20 x 6 = 210; B: 20 x 6 + 25 x 6 = 270. Ratio = 7 : 9; A = 7/16 x 16,000 = Rs 7,000.
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Question 31 of 50
A and B invest Rs 12,000 and Rs 18,000 for one year. If they incur a loss of Rs 6,000, A's share of the loss is
ExplanationLoss is shared in the capital ratio 2 : 3; A's loss = 2/5 x 6,000 = Rs 2,400.
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Question 32 of 50
B's capital is 1.5 times A's and they share a loss of Rs 10,000 in the capital ratio. A's share of the loss is
ExplanationRatio = 2 : 3; A's loss = 2/5 x 10,000 = Rs 4,000.
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Question 33 of 50
Two partners invest in the ratio 5 : 7. If B's capital is Rs 14,000, A's capital is
ExplanationOne part = 14,000 / 7 = 2,000; A = 5 x 2,000 = Rs 10,000.
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Question 34 of 50
Two partners invest in the ratio 3 : 4. If A's profit is Rs 9,000, B's profit is
ExplanationOne part = 9,000 / 3 = 3,000; B's profit = 4 x 3,000 = Rs 12,000.
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Question 35 of 50
A invests for 8 months and B invests Rs 25,000 for 12 months. Profits are shared 4 : 5 between A and B. A's capital is
ExplanationB: 25,000 x 12 = 300,000. 8x : 300,000 = 4 : 5, so 8x = 240,000 and x = Rs 30,000.
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Question 36 of 50
A and B share profits in the ratio 3 : 2. C is admitted with 1/5 of the profit, and the rest is shared by A and B in the old ratio. The new ratio of A : B : C is
ExplanationRemaining 4/5 split 3:2 gives A = 12/25 and B = 8/25; C = 5/25.
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Question 37 of 50
A starts with Rs 20,000 and B joins after 3 months with Rs 30,000. The ratio of their profits at the end of the year is
ExplanationA: 20,000 x 12 = 240,000; B: 30,000 x 9 = 270,000. Ratio = 240 : 270 = 8 : 9.
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Question 38 of 50
A invests Rs 3,000 for 12 months and B invests Rs 4,000 for 6 months. The ratio of their profits is
ExplanationA: 3,000 x 12 = 36,000; B: 4,000 x 6 = 24,000. Ratio = 36 : 24 = 3 : 2.
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Question 39 of 50
A invests Rs 2,000 for 12 months, B invests Rs 3,000 for 8 months and C invests Rs 4,000 for 6 months. If the profit is Rs 9,000, C's share is
ExplanationEach product equals 24,000, so the ratio is 1 : 1 : 1 and each gets Rs 3,000.
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Question 40 of 50
A invests Rs 4,000 for 9 months and B invests Rs 6,000 for 8 months. The ratio of their profits is
ExplanationA: 36,000; B: 48,000. Ratio = 36 : 48 = 3 : 4.
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Question 41 of 50
Three partners invest in the ratio 2 : 3 : 5. If A's profit is Rs 4,000, the total profit is
ExplanationA's fraction is 2/10 = 1/5, so total = 4,000 x 5 = Rs 20,000.
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Question 42 of 50
Two partners invest in the ratio 3 : 2 and earn a profit of Rs 25,000. B's share is
ExplanationB's share = 2/5 x 25,000 = Rs 10,000.
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Question 43 of 50
Three partners invest Rs 4,000, Rs 6,000 and Rs 10,000 for the same period. Their profit ratio is
Explanation4,000 : 6,000 : 10,000 = 2 : 3 : 5 after dividing by 2,000.
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Question 44 of 50
A and B invest Rs 20,000 and Rs 30,000 respectively for one year. The ratio of their profits is
ExplanationProfits are shared in the ratio of capitals (equal time): 20,000 : 30,000 = 2 : 3.
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Question 45 of 50
A invests Rs 36,000 for 12 months and B invests Rs 48,000 for 9 months. C invests for 6 months. Their profit ratio is 3 : 3 : 2. C's capital is
ExplanationA: 432,000; B: 432,000; C needs 288,000, so capital = 288,000 / 6 = Rs 48,000.
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Question 46 of 50
A and B invest Rs 25,000 and Rs 35,000 for one year. If A's share of profit is Rs 5,000, the total profit is
ExplanationA's share is 25/60 of the total, so total = 5,000 x 60/25 = Rs 12,000.
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Question 47 of 50
A and B invest Rs 45,000 and Rs 55,000 for one year. If B's share of the profit is Rs 11,000, the total profit is
ExplanationB's fraction = 55/100, so total profit = 11,000 x 100/55 = Rs 20,000.
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Question 48 of 50
A, B and C invest in the ratio 1/2 : 1/3 : 1/4 for the same time. If the profit is Rs 13,000, A's share is
ExplanationThe ratio is 6 : 4 : 3, a total of 13, so A = 6/13 x 13,000 = Rs 6,000.
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Question 49 of 50
A invests Rs 6,000 for 8 months and B invests Rs 8,000 for 6 months. If the profit is Rs 12,000, A's share is
ExplanationA: 48,000; B: 48,000. Equal capital-months give equal shares: Rs 6,000 each.
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Question 50 of 50
A invests Rs 8,000 for 12 months and B invests Rs 12,000 for 9 months. If the total profit is Rs 17,000, A's share is
ExplanationA: 96,000; B: 108,000. Ratio = 8 : 9. A's share = 8/17 x 17,000 = Rs 8,000.
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