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Mathematics

Calculate the amount and the compound interest on ₹ 25,000 for 2 years at 8% per annum, compounded annually.

Compound Interest

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Answer

For first year :

P = ₹ 25,000

T = 1 year

R = 8%

I = P×R×T100\dfrac{P \times R \times T}{100}

=25000×8×1100= \dfrac{25000 \times 8 \times 1}{100} = ₹ 2,000.

Amount = P + I = ₹ 25,000 + ₹ 2,000 = ₹ 27,000.

For second year :

P = ₹ 27,000

T = 1 year

R = 8%

I = P×R×T100\dfrac{P \times R \times T}{100}

=27000×8×1100= \dfrac{27000 \times 8 \times 1}{100} = ₹ 2160.

Amount = P + I = ₹ 27,000 + ₹ 2,160 = ₹ 29,160.

Compound interest = Final amount - Initial principal

= ₹ 29,160 - ₹ 25,000 = ₹ 4,160.

Hence, compound interest = ₹ 4,160 and amount = ₹ 29,160.

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