A sum of Rs 15200 is divided into two parts. The simple interest on first part at the rate of 25% per annum is equal to the simple interest on second part at the rate of 13% per annum. What is the interest (in Rs) of each part? ?->(Show Answer!)

1. A sum of Rs 15200 is divided into two parts. The simple interest on first part at the rate of 25% per annum is equal to the simple interest on second part at the rate of 13% per annum. What is the interest (in Rs) of each part?

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By: anil on 05 May 2019 02.07 am

Let sum invested for 25% = Rs. $$100x$$ and sum invested for 13% = Rs. $$(15200-100x)$$ Time period = 1 year => Simple interest = $$frac{P imes R imes T}{100}$$ According to ques, => $$frac{100x imes25 imes1}{100}=frac{(15200-100x) imes13 imes1}{100}$$ => $$25x=(152-x) imes13$$ => $$25x=1976-13x$$ => $$25x+13x=38x=1976$$ => $$x=frac{1976}{38}=52$$ $$ herefore$$ Interest for each part = $$frac{100 imes52 imes25 imes1}{100}$$ = Rs. $$1300$$ => Ans - (B)

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