1. A sum of Rs 8000 is divided into two parts. The simple interest on first part at the rate of 21% per annum is equal to the simple interest on second part at the rate of 35% per annum. What is the interest (in Rs) of each part?
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By: anil on 05 May 2019 02.08 am
Let sum invested for 21% = Rs. $$100x$$ and sum invested for 35% = Rs. $$(8000-100x)$$ Time period = 1 year => Simple interest = $$frac{P imes R imes T}{100}$$ According to ques, => $$frac{100x imes21 imes1}{100}=frac{(8000-100x) imes35 imes1}{100}$$ => $$21x=(80-x) imes35$$ => $$21x=2800-35x$$ => $$35x+21x=56x=2800$$ => $$x=frac{2800}{56}=50$$ $$ herefore$$ Interest for each part = $$frac{100 imes50 imes21 imes1}{100}$$ = Rs. $$1050$$ => Ans - (A)
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