If the compound interest on a certain sum for 2 years at 12% per annum is Rs. 1590, 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 12% per annum is Rs. 1590, find the simple interest on the same sum at the same rate for the same period.
A. Rs. 1500
B. Rs. 1450
C. Rs. 1400
D. Rs. 1550
Answer: Option A
Solution (By JKExamLibrary)
Effective compound interest rate = 12 + 12 + (1212)/100 = 25.44%. Simple interest rate = 12 * 2 = 24%. Given 25.44% of sum = 1590 => Sum = 1590 / 0.2544 = Rs. 6250. Simple Interest = 24% of 6250 = Rs. 1500.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
What sum will produce Rs. 204 as compound interest in 2 years at 4% per annum?
A. Rs. 2400
B. Rs. 2500
C. Rs. 2600
D. Rs. 2700

Correct Answer: Option B


Explanation:
P = 204 / 0.0816 = 2500.

This question belongs to: Maths Compound Interest
Question #2 Report Error
At what rate percent per annum will Rs. 40000 amount to Rs. 48400 in 2 years, compound interest compounded annually?
A. 8%
B. 14%
C. 10%
D. 12%

Correct Answer: Option C


Explanation:
Amount/Principal = 48400 / 40000 = 121 / 100 = (11 / 10)^2. Therefore, 1 + R/100 = 11/10 => R/100 = 1/10 => R = 10%.

This question belongs to: Maths Compound Interest
Question #3 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. 20000
B. Rs. 18000
C. Rs. 22000
D. Rs. 24000

Correct Answer: Option A


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