The compound interest on a certain sum for 2 years at 4% per annum is Rs. 816. Find the principal sum. MCQ with Answer and Explanation

The compound interest on a certain sum for 2 years at 4% per annum is Rs. 816. Find the principal sum.
A. Rs. 10500
B. Rs. 11000
C. Rs. 9500
D. Rs. 10000
Answer: Option D
Solution (By JKExamLibrary)
Effective rate of compound interest for 2 years at 4% = 4 + 4 + (44)/100 = 8.16%. Given 8.16% of P = 816 => P = 816 / 0.0816 = Rs. 10000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum of money becomes Rs. 24200 in 2 years and Rs. 26620 in 3 years at compound interest compounded annually. Find the sum.
A. Rs. 22000
B. Rs. 20000
C. Rs. 18000
D. Rs. 24000

Correct Answer: Option B


Explanation:
Rate of interest = ((26620 - 24200) / 24200) * 100 = (2420 / 24200) * 100 = 10%. Principal P = 24200 / (1 + 10/100)^2 = 24200 / 1.21 = Rs. 20000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
In how many years will Rs. 2000 amount to Rs. 2420 at 10% per annum compound interest, compounded annually?
A. 1.5 years
B. 2 years
C. 3 years
D. 1 year

Correct Answer: Option B


Explanation:
Amount/Principal = 2420 / 2000 = 121 / 100 = (11 / 10)^2. Since the annual rate is 10%, expansion factor is 11/10. Therefore, time = 2 years.

This question belongs to: Maths Compound Interest
Question #3 Report Error
A sum of money becomes 2 times in 4 years at compound interest. In how many years will it become 8 times?
A. 12 years
B. 8 years
C. 16 years
D. 10 years

Correct Answer: Option A


Explanation:
2 times in 4 years; 8 = 2³, so 4 × 3 = 12 years.

This question belongs to: Maths Compound Interest