Question

X and Y borrowed a total sum of Rs. 12000 from a money lender at 5% per annum compound interest in such a proportionthat to settle his loan after 2 years X paid as much amount as was paid by Y after 3 years from the date of borrowing. Finethe part of money borrowed by Y​

Answer 1

Given :   X and Y borrowed a total sum of Rs. 12000 from a money lender at 5% per annum compound interest in such a proportionthat to settle his loan after 2 years X paid as much amount as was paid by Y after 3 years from the date of borrowing.

To Find : the part of money borrowed by Y​

Solution:

the part of money borrowed by Y​ = Y  Rs

=> the part of money borrowed by X​ = 12000 - Y  Rs

R = 5 %

A = P (1 + R/100)ⁿ

X amount after 2 years =  (12000 - Y)(1 + 5/100)²

Y amount after 2 years =  ( Y)(1 + 5/100)³

=>  ( Y)(1 + 5/100)³ =   (12000 - Y)(1 + 5/100)²

=> ( Y)(1 + 5/100) =  (12000 - Y)

=>1.05Y  = 12000 - Y

=> 2.05Y  = 12000

=> Y = 5,853.66  Rs

part of money borrowed by Y​ = 5,853.66  Rs

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