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Mathematics

A sum is invested at compound interest compounded yearly. If the interest for two successive years be ₹ 5700 and ₹ 7410, calculate the rate of interest.

Compound Interest

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Answer

Difference between C.I. of two successive years = ₹ 7410 - ₹ 5700 = ₹ 1710

∴ ₹ 1710 is the interest of one year on ₹ 5700.

By formula,

Rate of interest = 100×IP×T=100×17105700×1\dfrac{100 \times I}{P \times T} = \dfrac{100 \times 1710}{5700 \times 1} = 30%.

Hence, the rate of interest = 30%.

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