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. 163
B. Rs. 160
C. Rs. 162
D. Rs. 155
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
What sum will produce Rs. 204 as compound interest in 2 years at 4% per annum?
A. Rs. 2500
B. Rs. 2600
C. Rs. 2400
D. Rs. 2700

Correct Answer: Option A


Explanation:
P = 204 / 0.0816 = 2500.

This question belongs to: Maths Compound Interest
Question #2
A sum of money at compound interest amounts to Rs. 11520 in 2 years and Rs. 13824 in 3 years. Find the sum.
A. Rs. 7000
B. Rs. 8000
C. Rs. 7500
D. Rs. 8500

Correct Answer: Option B


Explanation:
Rate = (13824/11520 − 1) × 100 = 20%. P = 11520 / (1.2)² = 11520 / 1.44 = 8000.

This question belongs to: Maths Compound Interest
Question #3
Find the compound interest on Rs. 1800 at 10% per annum for 1 year compounded half-yearly.
A. Rs. 180
B. Rs. 190
C. Rs. 189
D. Rs. 184.50

Correct Answer: Option D


Explanation:
Half-yearly rate 5%, n=2. A = 1800 × (1.05)² = 1800 × 1.1025 = 1984.50, CI = 1984.50 − 1800 = Rs. 184.50.

This question belongs to: Maths Compound Interest