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Mathematics

Calculate the amount and the compound interest on ₹5000 in 2 years when the rate of interest for successive years is 6% and 8% respectively.

Compound Interest

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Answer

Principal for first year = ₹5000.

Interest for the first year = ₹ 5000×6×1100=30000100\dfrac{5000 \times 6 \times 1}{100} = \dfrac{30000}{100} = ₹300.

Amount after one year = ₹5000 + ₹300 = ₹5300.

Principal for the second year = ₹5300.

Interest for the second year = ₹ 5300×8×1100=42400100\dfrac{5300 \times 8 \times 1}{100} = \dfrac{42400}{100} = ₹424.

Amount after 2 years = ₹5300 + ₹424 = ₹5724.

Compound interest = Final amount - Principal = ₹5724 - ₹5000 = ₹724.

Hence, the amount and the compound interest are ₹5724 and ₹724 respectively.

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