The compound interest on a certain sum of money for 2 years at 8% per annum is Rs. 416. 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 8% per annum is Rs. 416. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 410
B. Rs. 400
C. Rs. 380
D. Rs. 412
Answer: Option B
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 8% = 8 + 8 + (88)/100 = 16.64%. Simple interest rate = 8 * 2 = 16%. Given 16.64% of sum = 416 => 1% of sum = 25. Simple Interest = 16% of sum = 16 * 25 = Rs. 400.

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Practice More Compound Interest Questions

Question #1
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 210. Find the principal sum.
A. Rs. 1100
B. Rs. 950
C. Rs. 1000
D. Rs. 1050

Correct Answer: Option C


Explanation:
Effective rate of compound interest for 2 years at 10% = 10 + 10 + (1010)/100 = 21%. Given 21% of P = 210 => P = 210 / 0.21 = Rs. 1000.

This question belongs to: Maths Compound Interest
Question #2
The compound interest on Rs. 2400 for 2 years at 5% per annum is:
A. Rs. 240
B. Rs. 252
C. Rs. 246
D. Rs. 260

Correct Answer: Option C


Explanation:
A = 2400 × (1.05)² = 2400 × 1.1025 = 2646, CI = 2646 − 2400 = Rs. 246.

This question belongs to: Maths Compound Interest
Question #3
In how many years will Rs. 2500 amount to Rs. 3025 at 10% per annum compound interest?
A. 2.5 years
B. 2 years
C. 1.5 years
D. 3 years

Correct Answer: Option B


Explanation:
2500(1.1)^t = 3025 ⇒ (1.1)^t = 1.21 = (1.1)² ⇒ t = 2.

This question belongs to: Maths Compound Interest