A sum of money at compound interest quadruples in 2 years. In how many years will it become 16 times? MCQ with Answer and Explanation

A sum of money at compound interest quadruples in 2 years. In how many years will it become 16 times?
A. 4 years
B. 6 years
C. 3 years
D. 5 years
Answer: Option A
Solution (By JKExamLibrary)
16 = 4², so 2 × 2 = 4 years.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
If the compound interest on a certain sum for 2 years at 12% per annum is Rs. 1590, find the simple interest on the same sum at the same rate for the same period.
A. Rs. 1550
B. Rs. 1400
C. Rs. 1450
D. Rs. 1500

Correct Answer: Option D


Explanation:
Effective compound interest rate = 12 + 12 + (1212)/100 = 25.44%. Simple interest rate = 12 * 2 = 24%. Given 25.44% of sum = 1590 => Sum = 1590 / 0.2544 = Rs. 6250. Simple Interest = 24% of 6250 = Rs. 1500.

This question belongs to: Maths Compound Interest
Question #2 Report Error
A sum of money doubles itself at compound interest in 8 years. In how many years will it become 16 times?
A. 24 years
B. 36 years
C. 28 years
D. 32 years

Correct Answer: Option D


Explanation:
2 times in 8 years, 16 = 2⁴, so 8 × 4 = 32 years.

This question belongs to: Maths Compound Interest
Question #3 Report Error
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. 432
C. Rs. 440
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