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. MCQ with Answer and Explanation

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. 101
B. Rs. 100
C. Rs. 101.50
D. Rs. 98
Answer: Option B
Solution (By JKExamLibrary)
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

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Practice More Compound Interest Questions

Question #1 Report Error
Find the compound interest on Rs. 10000 for 1 year at 8% per annum, compounded quarterly.
A. Rs. 850.50
B. Rs. 840.00
C. Rs. 800.00
D. Rs. 824.32

Correct Answer: Option D


Explanation:
Quarterly rate = 8 / 4 = 2%. Time = 4 quarters. Amount = 10000 * (1 + 2/100)^4 = 10000 * (1.02)^4 = 10000 * 1.082432 = Rs. 10824.32. Compound Interest = 10824.32 - 10000 = Rs. 824.32.

This question belongs to: Maths Compound Interest
Question #2 Report Error
A sum of money becomes 1.44 times in 2 years at compound interest. The rate of interest is:
A. 18%
B. 24%
C. 20%
D. 22%

Correct Answer: Option C


Explanation:
(1+r)² = 1.44 ⇒ 1+r = 1.2 ⇒ r = 20%.

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 3 years at 10% per annum is Rs. 310. Find the sum.
A. Rs. 15000
B. Rs. 8000
C. Rs. 12000
D. Rs. 10000

Correct Answer: Option D


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