Bimalkaku deposited Rs 18750 in the bank for his 12-year-old son and 14-year-old daughter at a simple interest rate of 5% per annum in such a way that, when they were both 18 years old, they would each receive the same amount of interest. Let's calculate how much money he kept in the bank for his son and daughter.
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Let sum left for the 12 years old and 14 years old sons be Rs. x and Rs. (18750−x) respectively.
Then, 100x×6×5+x=100(18750−x)×4×5+(18750−x)
⇒10030x+x=3750−10020x+18750−x
⇒10050x+2x=22500
⇒100250x=22500
⇒x= Rs. 25022500×100= Rs. 9000
∴ The sum allotted to the other son is Rs. 9750
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