Maths MCQs for AD (ASF) – Series 6 (Q91-100)
Q91. Find the simple interest on Rs. 5000 at 8% per annum for 3 years.
- A) Rs. 1000
- B) Rs. 1400
- C) Rs. 1200
- D) None of these
Answer: C
SI = P×R×T/100 = 5000×8×3/100 = Rs. 1200.
Q92. A sum amounts to Rs. 6500 in 3 years and Rs. 7500 in 5 years at simple interest. Find the rate of interest.
- A) 10%
- B) 12%
- C) 8%
- D) None of these
Answer: A
SI for 2 years = 1000, so SI/year = 500; Principal = 6500−3×500 = 5000; Rate = 500/5000×100 = 10%.
Q93. Find the compound interest on Rs. 10000 at 10% per annum for 2 years, compounded annually.
- A) Rs. 2100
- B) Rs. 2200
- C) Rs. 2000
- D) None of these
Answer: A
CI = 10000×(1.1²−1) = 10000×0.21 = Rs. 2100.
Q94. The difference between simple interest and compound interest on a sum for 2 years at 10% per annum is Rs. 150. Find the sum.
- A) Rs. 12000
- B) Rs. 15000
- C) Rs. 18000
- D) None of these
Answer: B
Difference = P×(R/100)² → 150 = P×0.01 → P = Rs. 15000.
Q95. A sum of money doubles itself in 8 years at simple interest. Find the rate percent per annum.
- A) 10%
- B) 12.5%
- C) 15%
- D) None of these
Answer: B
SI = P for doubling, so R = 100/T = 100/8 = 12.5%.
Q96. At what rate percent per annum will a sum of Rs. 1200 become Rs. 1524 in 3 years at simple interest?
- A) 9%
- B) 10%
- C) 8%
- D) None of these
Answer: A
SI = 1524−1200 = 324; R = 324×100/(1200×3) = 9%.
Q97. Find the compound interest on Rs. 8000 for 1 year at 10% per annum, compounded half-yearly.
- A) Rs. 840
- B) Rs. 800
- C) Rs. 820
- D) None of these
Answer: C
Half-yearly rate = 5%, 2 periods: A = 8000×1.05² = 8820; CI = 8820−8000 = Rs. 820.
Q98. A sum triples itself in 15 years at simple interest. In how many years will it become 5 times itself?
- A) 35 years
- B) 30 years
- C) 25 years
- D) None of these
Answer: B
For tripling, 2P = P×R×15/100 → R = 40/3%. For 5 times, 4P = P×R×T/100 → T = 400/R = 30 years.
Q99. Find the present worth of Rs. 2205 due 2 years hence at 5% per annum compound interest.
- A) Rs. 2000
- B) Rs. 2100
- C) Rs. 1950
- D) None of these
Answer: A
PW = 2205/(1.05²) = 2205/1.1025 = Rs. 2000.
Q100. The simple interest on a certain sum at 8% per annum for 5 years is Rs. 1200 less than the sum itself. Find the sum.
- A) Rs. 2200
- B) Rs. 1800
- C) Rs. 2000
- D) None of these
Answer: C
SI = 0.4P; P−SI = 1200 → 0.6P = 1200 → P = Rs. 2000.
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