Simple & Compound Interest LAT MCQs
50 questions · LAT
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Question 1 of 50
SI: P=Rs.4,500, R=6%, T=2 years. SI?
ExplanationSI=4500×6×2/100=540
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Question 2 of 50
SI: P=Rs.10,000, R=4%, T=2.5 years. SI?
ExplanationSI=10000×4×2.5/100=1000
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Question 3 of 50
SI: P=Rs.3,600, R=5%, SI=Rs.540. T?
ExplanationT=540×100/(3600×5)=3 yrs
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Question 4 of 50
SI: P=Rs.8000, R=7.5%, T=2 years. SI?
ExplanationSI=8000×7.5×2/100=1200
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Question 5 of 50
CI: P=Rs.2000, R=10%, T=3 years. Amount?
ExplanationA=2000×(1.1)³=2000×1.331=2,662
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Question 6 of 50
CI: P=Rs.8000, R=5%, T=2 years. CI?
ExplanationA=8000×(1.05)²=8000×1.1025=8820; CI=820
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Question 7 of 50
CI: P=Rs.1000, R=10%, T=2 years. CI?
ExplanationA=1000×(1.1)²=1210; CI=210
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Question 8 of 50
P=Rs.5000, SI for 3 years = CI for 2 years. Rate?
Explanation5000×r×3/100=5000(1+r/100)²−5000; 3r=((1+r/100)²−1)×100; complex—using R=100%: SI=15000; CI=5000×4−5000=15000 ✓
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Question 9 of 50
SI: P=Rs.6,000, R=8%, T=3 years. Total Amount?
ExplanationSI=6000×8×3/100=1440; Amount=7,440
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Question 10 of 50
CI: P=Rs.1000, R=20%, T=2 years. CI?
ExplanationA=1000×(1.2)²=1440; CI=440
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Question 11 of 50
CI: P=Rs.500, R=20%, T=3 years. Amount?
ExplanationA=500×(1.2)³=500×1.728=864
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Question 12 of 50
CI: P=Rs.4000, R=5%, T=2 years. Amount?
ExplanationA=4000×(1.05)²=4000×1.1025=4,410
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Question 13 of 50
SI: P=Rs.2,000, T=4 years, SI=Rs.640. Rate?
ExplanationR=640×100/(2000×4)=8%
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Question 14 of 50
CI quarterly: P=Rs.4000, R=8% annual, T=1 year. Amount?
ExplanationR/4=2%, n=4; A=4000×(1.02)⁴=4000×1.08243=4,329.73
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Question 15 of 50
CI: P=Rs.3000, R=10%, T=2 years. Amount?
ExplanationA=3000×(1.1)²=3000×1.21=3,630
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Question 16 of 50
SI: P=Rs.7,500, R=4%, T=5 years. Amount?
ExplanationSI=7500×4×5/100=1500; Amount=9,000
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Question 17 of 50
Rs.1000 at SI of 5% for 4 years. Interest?
ExplanationSI=1000×5×4/100=200
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Question 18 of 50
CI: P=Rs.12,000, R=5%, T=2 years. CI?
ExplanationA=12000×(1.05)²=13230; CI=1230
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Question 19 of 50
If SI doubles the principal in 8 years, rate is?
ExplanationSI=P, T=8; R=P×100/(P×8)=12.5%
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Question 20 of 50
SI: P=Rs.9000, R=6%, T=3 years. SI?
ExplanationSI=9000×6×3/100=1620
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Question 21 of 50
SI: P=Rs.1,800, R=8%, T=2.5 years. SI?
ExplanationSI=1800×8×2.5/100=360
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Question 22 of 50
CI half-yearly: P=Rs.1000, R=10% annual, T=1 year. Amount?
ExplanationHalf-yearly: R=5%, n=2; A=1000×(1.05)²=1102.50
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Question 23 of 50
SI = Rs.750, R=5%, T=3 years. Principal?
ExplanationP=SI×100/(R×T)=750×100/15=5,000
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Question 24 of 50
Rs.1600 becomes Rs.2500 in n years at CI of 25%. n?
Explanation1600×(1.25)ⁿ=2500; (1.25)²=1.5625; 1600×1.5625=2500 ✓ n=2
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Question 25 of 50
Difference between CI and SI for P=1000,R=10%,T=2 years?
ExplanationCI=210, SI=200; Diff=10
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Question 26 of 50
SI: P=Rs.7200, R=5%, T=3 years. Amount?
ExplanationSI=7200×5×3/100=1080; Amount=8,280
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Question 27 of 50
SI: P=Rs.1000, R=10%, T=2 years. SI?
ExplanationSI=PRT/100=1000×10×2/100=200
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Question 28 of 50
SI: P=Rs.1,500, R=6%, T=5 years. Amount?
ExplanationSI=1500×6×5/100=450; Amount=1950
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Question 29 of 50
CI: P=Rs.6000, R=10%, T=2 years. CI?
ExplanationA=6000×(1.1)²=7260; CI=1260
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Question 30 of 50
SI = Rs.600, P=Rs.3000, T=2 years. Rate?
ExplanationR=SI×100/(P×T)=600×100/(3000×2)=10%
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Question 31 of 50
CI: P=Rs.15000, R=10%, T=2 years. Amount?
ExplanationA=15000×(1.1)²=15000×1.21=18,150
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Question 32 of 50
SI: P=Rs.8000, Amount=Rs.9600, R=5%. T?
ExplanationSI=1600; T=1600×100/(8000×5)=4 yrs
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Question 33 of 50
CI: P=Rs.10,000, R=10%, T=3 years. Amount?
ExplanationA=10000×(1.1)³=10000×1.331=13,310
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Question 34 of 50
SI: R=12%, T=3 years, SI=Rs.900. P?
ExplanationP=900×100/(12×3)=2,500
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Question 35 of 50
SI: P=Rs.1200, Amount=Rs.1560, T=3 years. Rate?
ExplanationSI=360; R=360×100/(1200×3)=10%
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Question 36 of 50
Amount=Rs.1,200, SI=Rs.200, T=5 years. Rate?
ExplanationP=Amount−SI=1200−200=1000; R=SI×100/(P×T)=200×100/(1000×5)=4%
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Question 37 of 50
CI: P=Rs.5000, R=4%, T=2 years. CI?
ExplanationA=5000×(1.04)²=5000×1.0816=5408; CI=408
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Question 38 of 50
SI: P=Rs.2,000, R=5%, T=4 years. Amount?
ExplanationSI=400; Amount=2000+400=2,400
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Question 39 of 50
CI: P=Rs.1000, R=5% half-yearly, T=1 year (2 periods). Amount?
ExplanationA=1000×(1.05)²=1102.50
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Question 40 of 50
P=Rs.2500, R=4% SI, T=5 years. Total amount?
ExplanationSI=2500×4×5/100=500; Amount=3,000
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Question 41 of 50
P=Rs.2500, Amount=Rs.3000, T=2 years. Rate (SI)?
ExplanationSI=500; R=500×100/(2500×2)=10%
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Question 42 of 50
Difference CI−SI for P=Rs.5000, R=8%, T=2 years?
ExplanationSI=800; CI=5000×(1.08)²−5000=5000×1.1664−5000=832; Diff=32
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Question 43 of 50
SI: P=Rs.4000, R=7.5%, T=4 years. Amount?
ExplanationSI=4000×7.5×4/100=1200; Amount=5,200
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Question 44 of 50
SI: P=Rs.5000, R=8%, T=3 years. SI?
ExplanationSI=5000×8×3/100=1200
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Question 45 of 50
CI: P=Rs.1000, R=10%, T=1 year. CI?
ExplanationA=1000×1.1=1100; CI=100
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Question 46 of 50
CI: P=Rs.2000, R=15%, T=2 years. CI?
ExplanationA=2000×(1.15)²=2000×1.3225=2,645; CI=2,645−2,000=Rs.645
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Question 47 of 50
Difference CI−SI for P=1000, R=10%, T=3 years?
ExplanationSI=300; CI=1000×(1.1)³−1000=331; Diff=31
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Question 48 of 50
In how many years Rs.1000 becomes Rs.1600 at SI of 10%?
ExplanationSI=600; T=600×100/(1000×10)=6 yrs
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Question 49 of 50
Which gives more: SI or CI for same P,R,T (T>1)?
ExplanationCI gives more because interest is compounded
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Question 50 of 50
In how many years will Rs.2000 double at SI of 10%?
ExplanationSI=P; T=P×100/(P×R)=100/10=10 yrs
0 / 50 answered
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