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Simple & Compound Interest · Question 46 of 60

Question 46

HardOriginal question

The compound interest on a sum for 3 years at 10% per annum, compounded annually, is ₹4,965. What is the sum?

Options for question 46

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. CI = P[(1.1)3−1]=P(1.331−1)=0.331PP[(1.1)^3 - 1] = P(1.331 - 1) = 0.331P.

  2. 0.331P=49650.331P = 4965, so P=49650.331=15000P = \frac{4965}{0.331} = 15000.

  3. The sum is ₹15,000.

Worth noting

₹16,550 divides by 0.3 (simple interest for 3 years). ₹19,965 is the amount at the end, not the sum lent.

Concept
Finding the principal from compound interest for 3 years
Typical time
90 s
Your time
—
The rule this testsCompound interest
Practise this chapter →

Ten questions from Simple & Compound Interest, at your own pace.

Practise this chapter →

Ten questions from Simple & Compound Interest, at your own pace.