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Rahamanchacha deposited some money in a ...

Rahamanchacha deposited some money in a Co-operative Bank at the rate of 9% compound interest and he received amount Rs. 29702.50 after 2 years. Find how much money Rahamanchacha had deposited in Co-operative Bank.

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Let Rahamanchacha had deposited Rs. X in the bank.
`:.` The amount of Rs.x in 2 years at the rate of compound of 9% per annum.
`=Rs.x xx(1+9/100)^(2)=Rs. x xx(109/100)^(2)`
`=Rs.x xx(109xx109)/(100xx100)`
As per question `x xx(109/100)^(2)=29702.50`
`impliesx xx(109xx109)/(100xx100)=29702.50`
`impliesx=(29702.50xx100xx100)/(109xx109)=25000`
Hence Rahamanchacha had deposited Rs. 25000 in the Co-operative Bank.
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