A sum of money amounts to Rs. 4840 in 2 years and to Rs. 5324 in 3 years at compound interest compounded annually. Find the principal sum. MCQ with Answer and Explanation

A sum of money amounts to Rs. 4840 in 2 years and to Rs. 5324 in 3 years at compound interest compounded annually. Find the principal sum.
A. Rs. 4200
B. Rs. 3600
C. Rs. 4400
D. Rs. 4000
Answer: Option D
Solution (By JKSSB Mock Tests)
Rate of interest = ((5324 - 4840) / 4840) * 100 = (484 / 4840) * 100 = 10%. Principal P = 4840 / (1 + 10/100)^2 = 4840 / 1.21 = Rs. 4000.

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Practice More Compound Interest Questions

Question #1
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. 8500
D. Rs. 7500

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 #2
A sum of money placed at compound interest becomes double of itself in 5 years. In how many years will it become 64 times of itself?
A. 40 years
B. 35 years
C. 30 years
D. 25 years

Correct Answer: Option C


Explanation:
The sum becomes 2^1 times in 5 years. It will become 64 (2^6) times in 6 * 5 = 30 years.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on a certain sum of money for 2 years at 4% per annum is Rs. 204. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 203
B. Rs. 195
C. Rs. 202
D. Rs. 200

Correct Answer: Option D


Explanation:
Effective rate of compound interest for 2 years at 4% = 4 + 4 + (44)/100 = 8.16%. Simple interest rate = 4 * 2 = 8%. Given 8.16% of sum = 204 => 1% of sum = 25. Simple Interest = 8% of sum = 8 * 25 = Rs. 200.

This question belongs to: Maths Compound Interest