The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 164. What would be the simple interest on the same sum at the same rate for the same time? MCQ with Answer and Explanation

The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 164. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 155
B. Rs. 160
C. Rs. 162
D. Rs. 163
Answer: Option B
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Simple interest rate = 5 * 2 = 10%. Given 10.25% of sum = 164 => 1% of sum = 16. Simple Interest = 10% of sum = 10 * 16 = Rs. 160.

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Practice More Compound Interest Questions

Question #1
If the simple interest on a sum for 2 years at 8% is Rs. 400, the compound interest on the same sum for 2 years at 8% is:
A. Rs. 416
B. Rs. 440
C. Rs. 432
D. Rs. 424

Correct Answer: Option A


Explanation:
P = SI × 100 / (8×2) = 40000/16 = 2500. CI = 2500[(1.08)² − 1] = 2500 × 0.1664 = Rs. 416.

This question belongs to: Maths Compound Interest
Question #2
A sum of money placed at compound interest becomes double of itself in 4 years. In how many years will it become 32 times of itself?
A. 20 years
B. 28 years
C. 24 years
D. 16 years

Correct Answer: Option A


Explanation:
The sum becomes 2^1 times in 4 years. It will become 32 (2^5) times in 5 * 4 = 20 years.

This question belongs to: Maths Compound Interest
Question #3
At what rate of compound interest per annum will a sum of Rs. 800 become Rs. 882 in 2 years?
A. 6%
B. 5%
C. 4%
D. 8%

Correct Answer: Option B


Explanation:
800 × (1 + r)² = 882 ⇒ (1+r)² = 1.1025 ⇒ 1+r = 1.05 ⇒ r = 5%.

This question belongs to: Maths Compound Interest