1. Puneet lent out Rs 30000 in two parts, one at 5% and the other at 9% interest. The yearly average interest comes out to be 6%. What are the amounts (in Rs) that are lent at 5% and 9% respectively?
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By: anil on 05 May 2019 02.04 am
Let sum lent for 5% = Rs. $$100x$$ and sum lent for 9% = Rs. $$(30,000-100x)$$ Time period = 1 year and rate of interest = 6% => Simple interest = $$frac{P imes R imes T}{100}$$ = $$frac{30,000 imes6 imes1}{100}=Rs.$$ $$1800$$ According to ques, => $$frac{100x imes5 imes1}{100}+frac{(30000-100x) imes9 imes1}{100}=1800$$ => $$5x+(300-x) imes9=1800$$ => $$5x+(9 imes300)-9x=(6 imes300)$$ => $$-4x=300(6-9)$$ => $$x=frac{300 imes3}{4}=225$$ $$ herefore$$ Amount lent at 5% = $$100 imes225=Rs.$$ $$22,500$$ Amount lent at 9% = $$(30,000-22,500)=Rs.$$ $$7,500$$ => Ans - (B)
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