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Mathematics

During the year 2022, the interest accrued at the rate of 5% is ₹ 1250. The compound interest accrued at the same rate during the year 2023 is :

  1. ₹ 1312.50

  2. ₹ 62.50

  3. ₹ 6250

  4. ₹ 2000

Compound Interest

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Answer

Let principal for first year be ₹ P.

For first year :

Interest = ₹ 1250

R = 5%

By formula,

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

Substituting values we get :

1250=P×5×1100P=1250×1005P=25000.\Rightarrow 1250 = \dfrac{P \times 5 \times 1}{100} \\[1em] \Rightarrow P = \dfrac{1250 \times 100}{5} \\[1em] \Rightarrow P = 25000.

Amount = P + I = ₹ 25000 + ₹ 1250 = ₹ 26250

For second year :

P = ₹ 26250

R = 5%

T = 1 year

Interest = P×R×T100=26250×5×1100\dfrac{P \times R \times T}{100} = \dfrac{26250 \times 5 \times 1}{100} = ₹ 1312.50

Hence, Option 1 is the correct option.

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