Find the compound interest on ₹ 10,000 in one year at 4 % per annum, the interest being compounded quarterly. (2024)

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Formula for Amount(Rate Compounded Semi Annually)

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Question

A

₹ 400.0401

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₹ 406.0401

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C

₹ 410.0401

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D

₹ 414.0401

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Solution

The correct option is B

₹ 406.0401

Principal (P) = ₹ 10000

Rate (R) = 4% per annum which is 1% per quarter

Time (n) = 4 (as 1 year has 4 quarters in it)

Using the formula A = P × (1+R100)n, we have,

Amount = [10000 × (1+1100)4] = 10,406.0401

Compound Interest = Amount - Principal

C.I. = ₹ (10,406.0401 - 10000) = ₹ 406.0401


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