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Mathematics

Compound interest on ₹ 6000 in 2 years at 5% per annum is :

  1. ₹ 615

  2. ₹ 630

  3. ₹ 600

  4. ₹ 690

Compound Interest

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Answer

Given,

P = ₹ 6000

r = 5%

n = 2 years

By formula,

A=P(1+r100)n=6000(1+5100)2=6000×(105100)2=6000×105100×105100=3×21×105=6615.A = P\Big(1 + \dfrac{r}{100}\Big)^n \\[1em] = 6000\Big(1 + \dfrac{5}{100}\Big)^2 \\[1em] = 6000 \times \Big(\dfrac{105}{100}\Big)^2 \\[1em] = 6000 \times \dfrac{105}{100} \times \dfrac{105}{100} \\[1em] = 3 \times 21 \times 105 \\[1em] = ₹ 6615.

C.I. = A - P = ₹ 6615 - ₹ 6000 = ₹ 615.

Hence, Option 1 is the correct option.

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