1. A sum of Rs. 2800 is divided into two parts in such a way that the interest on both the parts is equal. If the first part is lent at 9% p.a for 5 years and second part is for 6 years at 10% p.a., find the two sums.
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By: anil on 05 May 2019 02.28 am
Let the principal sum for first part = Rs. $$x$$ and for second part = Rs. $$(2800-x)$$ Simple interest = $$frac{P imes R imes T}{100}$$ First part is lent at 9% for 5 years and second part at 10% for 6 years According to ques, => $$frac{x imes9 imes5}{100}=frac{(2800-x) imes10 imes6}{100}$$ => $$45x=(2800-x) imes60$$ => $$3x=(2800-x) imes4$$ => $$3x=11200-4x$$ => $$3x+4x=7x=11200$$ => $$x=frac{11200}{7}=1600$$ Other sum = $$2800-1600=1200$$ $$ herefore$$ The two sums are = Rs. 1600 and Rs. 1200 => Ans - (B)
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