A sum of money amounts to Rs. 4840 in 2 years and to Rs. 5324 in 3 years at compound interest compounded annually. Find the principal sum. MCQ with Answer and Explanation

A sum of money amounts to Rs. 4840 in 2 years and to Rs. 5324 in 3 years at compound interest compounded annually. Find the principal sum.
A. Rs. 3600
B. Rs. 4200
C. Rs. 4000
D. Rs. 4400
Answer: Option C
Solution (By JKExamLibrary)
Rate of interest = ((5324 - 4840) / 4840) * 100 = (484 / 4840) * 100 = 10%. Principal P = 4840 / (1 + 10/100)^2 = 4840 / 1.21 = Rs. 4000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% per annum is Rs. 310. Find the sum.
A. Rs. 12000
B. Rs. 10000
C. Rs. 15000
D. Rs. 8000

Correct Answer: Option B


Explanation:
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 310 = P * (10/100)^2 * (3 + 10/100) => 310 = P * (1/100) * (3.1) => P = 310 / 0.031 = Rs. 10000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The difference between simple interest and compound interest on a certain sum of money for 2 years at 8% per annum is Rs. 128. Find the sum.
A. Rs. 24000
B. Rs. 18000
C. Rs. 20000
D. Rs. 22000

Correct Answer: Option C


Explanation:
Difference for 2 years = P * (R/100)^2 => 128 = P * (8/100)^2 => 128 = P * (64 / 10000) => P = (128 * 10000) / 64 = Rs. 20000.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The difference between simple interest and compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 100. Find the sum.
A. Rs. 12000
B. Rs. 9000
C. Rs. 10000
D. Rs. 11000

Correct Answer: Option C


Explanation:
Difference for 2 years = P * (R/100)^2 => 100 = P * (10/100)^2 => 100 = P * 0.01 => P = Rs. 10000.

This question belongs to: Maths Compound Interest