The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% per annum is Rs. 217. Find the sum. MCQ with Answer and Explanation

The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% per annum is Rs. 217. Find the sum.
A. Rs. 8000
B. Rs. 6500
C. Rs. 7500
D. Rs. 7000
Answer: Option D
Solution (By JKExamLibrary)
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 217 = P * (10/100)^2 * (3 + 10/100) => 217 = P * (1/100) * (3.1) => 217 = P * 0.031 => P = 217 / 0.031 = Rs. 7000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
Find the compound interest on Rs. 50000 for 1 year at 8% per annum, compounded quarterly.
A. Rs. 4000.00
B. Rs. 4310.20
C. Rs. 4200.00
D. Rs. 4121.61

Correct Answer: Option D


Explanation:
Quarterly rate = 8 / 4 = 2%. Time = 4 quarters. Amount = 50000 * (1 + 2/100)^4 = 50000 * (1.02)^4 = 50000 * 1.08243216 = Rs. 54121.61. Compound Interest = 54121.61 - 50000 = Rs. 4121.61.

This question belongs to: Maths Compound Interest
Question #2 Report Error
A sum of money at compound interest becomes 4 times in 2 years. In how many years will it become 16 times?
A. 6 years
B. 5 years
C. 3 years
D. 4 years

Correct Answer: Option D


Explanation:
4 times in 2 years; 16 = 4², so time = 2 × 2 = 4 years.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The compound interest on a sum for 2 years at 12% is Rs. 381.60. The sum is:
A. Rs. 1400
B. Rs. 1600
C. Rs. 1500
D. Rs. 1700

Correct Answer: Option C


Explanation:
CI = P × 0.2544 = 381.60 ⇒ P = 1500.

This question belongs to: Maths Compound Interest