The difference between simple interest and compound interest on a certain sum of money for 2 years at 9% per annum is Rs. 81. Find the sum. MCQ with Answer and Explanation

The difference between simple interest and compound interest on a certain sum of money for 2 years at 9% per annum is Rs. 81. Find the sum.
A. Rs. 9000
B. Rs. 10000
C. Rs. 12000
D. Rs. 11000
Answer: Option B
Solution (By JKExamLibrary)
Difference for 2 years = P * (R/100)^2 => 81 = P * (9/100)^2 => 81 = P * (81 / 10000) => P = Rs. 10000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
What is the principal if the amount after 3 years at 5% compound interest is Rs. 2315.25?
A. Rs. 2200
B. Rs. 1900
C. Rs. 2000
D. Rs. 2100

Correct Answer: Option C


Explanation:
P = 2315.25 / (1.05)³ = 2315.25 / 1.157625 = 2000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
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. 4000
B. Rs. 4200
C. Rs. 4400
D. Rs. 3600

Correct Answer: Option A


Explanation:
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
Question #3 Report Error
A sum of money at compound interest becomes 10 times in 2 years. In how many years will it become 100 times?
A. 3 years
B. 4 years
C. 6 years
D. 5 years

Correct Answer: Option B


Explanation:
100 = 10², so 2 × 2 = 4 years.

This question belongs to: Maths Compound Interest