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Dhiru bhai gave 50% of his total saving Rs. 1682 to his wife and distributed the remaining amount between his two sons Mukesh and Anil. The age of Mukesh and Anil at that time was 18 years and 16 years respectively. He divides the money in such a way that each son, when they attain the age of 21 years, would receive the same amount at 5% interest compounded annually. What was the amount given to Anil?

Dhiru bhai gave 50% of his total saving Rs. 1682 to his wife and distributed the remaining amount between his two sons Mukesh and Anil. The age of Mukesh and Anil at that time was 18 years and 16 years respectively. He divides the money in such a way that each son, when they attain the age of 21 years, would receive the same amount at 5% interest compounded annually. What was the amount given to Anil? Correct Answer Rs. 400

Share of wife = 50% of 1682 = 841

Share of Mukesh and Anil = 841

Let individual shares

Mukesh = X

Anil = (841 – X)

According to the question,

⇒ X(1 + 5/100)3 = (841 - X)(1 + 5/100)5

⇒ X = 441

∴ Anil share = 841 – 441 = Rs. 400

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