A sum becomes Rs. 10816 in 2 years at 4% compound interest. Find the sum. MCQ with Answer and Explanation

A sum becomes Rs. 10816 in 2 years at 4% compound interest. Find the sum.
A. Rs. 10500
B. Rs. 11000
C. Rs. 9500
D. Rs. 10000
Answer: Option D
Solution (By JKExamLibrary)
P = 10816 / (1.04)² = 10816 / 1.0816 = 10000.

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 4% per annum is Rs. 102, find the simple interest on the same sum at the same rate for the same period.
A. Rs. 98
B. Rs. 101.50
C. Rs. 100
D. Rs. 101

Correct Answer: Option C


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 = 102, then 8% of sum = (102 / 8.16) * 8 = 12.5 * 8 = Rs. 100.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The compound interest on Rs. 500 for 2 years at 4% per annum is:
A. Rs. 40.00
B. Rs. 41.60
C. Rs. 42.40
D. Rs. 40.80

Correct Answer: Option D


Explanation:
A = 500 × (1.04)² = 500 × 1.0816 = 540.80, CI = 540.80 − 500 = Rs. 40.80.

This question belongs to: Maths Compound Interest
Question #3 Report Error
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. 508.80
B. Rs. 504.00
C. Rs. 494.40
D. Rs. 499.20

Correct Answer: Option C


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