The compound interest on a certain sum for 2 years at 5% per annum is Rs. 410. Find 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 for 2 years at 5% per annum is Rs. 410. Find the simple interest on the same sum at the same rate for the same time.
A. Rs. 415
B. Rs. 400
C. Rs. 390
D. Rs. 405
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 = 410 => 1% of sum = 40. Simple Interest = 10% of sum = 10 * 40 = Rs. 400.

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Practice More Compound Interest Questions

Question #1
A sum of money at compound interest becomes 4 times in 3 years. In how many years will it become 16 times?
A. 4 years
B. 5 years
C. 6 years
D. 9 years

Correct Answer: Option C


Explanation:
4² = 16, so 3 × 2 = 6 years.

This question belongs to: Maths Compound Interest
Question #2
The simple interest on a sum for 2 years at 6% is Rs. 480. The compound interest on the same sum for 2 years at 6% is:
A. Rs. 499.20
B. Rs. 508.80
C. Rs. 504.00
D. Rs. 494.40

Correct Answer: Option D


Explanation:
P = 48000/(6×2) = 4000. CI = 4000[(1.06)² − 1] = 4000 × 0.1236 = Rs. 494.40.

This question belongs to: Maths Compound Interest
Question #3
What is the compound interest on Rs. 30000 for 1 year at 10% per annum, compounded half-yearly?
A. Rs. 3075
B. Rs. 3000
C. Rs. 3100
D. Rs. 3150

Correct Answer: Option A


Explanation:
Half-yearly rate = 10/2 = 5%. Time = 2 half-years. Amount = 30000 * (1 + 5/100)^2 = 30000 * 1.1225 = Rs. 33075. Compound Interest = 33075 - 30000 = Rs. 3075.

This question belongs to: Maths Compound Interest