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Mathematics

How much will ₹ 50000 amount to in 3 years compounded yearly, if the rates for the successive years are 6%, 8% and 10% respectively.

Compound Interest

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Answer

For first year :

P = ₹ 50000

T = 1 year

R = 6%

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

=50000×6×1100= \dfrac{50000 \times 6 \times 1}{100} = ₹ 3000.

Amount = P + I = ₹ 50000 + ₹ 3000 = ₹ 53000.

For second year :

P = ₹ 53000

T = 1 year

R = 8%

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

=53000×8×1100= \dfrac{53000 \times 8 \times 1}{100} = ₹ 4240

Amount = P + I = ₹ 53000 + ₹ 4240 = ₹ 57240

For third year :

P = ₹ 57240

T = 1 year

R = 10%

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

=57240×10×1100= \dfrac{57240 \times 10 \times 1}{100} = ₹ 5724

Amount = P + I = ₹ 57240 + ₹ 5724 = ₹ 62964

Hence, ₹ 50000 will amount to ₹ 62964 in 3 years

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