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What sum of money lent out at simple interest at 9 % p.a. for 3/2 years will produce the same interest as Rs 2250 lent at 6 % p.a. for 5 years

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Your problem `->` What sum of money lent out at simple interest at 9 % p.a. for 3/2 years will produce the same interest as Rs 2250 lent at 6 % p.a. for 5 years


Here `P = ` Rs. `2250, N = 5` years, `R = 6`%

`SI = (P*R*N)/100`

`SI = (2250 * 6 * 5 ) / 100 = 675`

Now, `SI = ` Rs. `675, N = 3/2` years, `R = 9`%

`SI = (P*R*N)/100`

`P = (SI * 100) / (R * N) = ( 675 * 100) / ( 9 * 3/2 ) = 5000`

The sum of money is Rs. `5000`






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