Some part of Rs 17500 was lent at the rate of 24% per annum simple interest and the remaining part at the rate of 10% per annum simple interest. The total interest received after 5 years is Rs 13300. What is the ratio of money lent at the rate of 24% ?->(Show Answer!)

1. Some part of Rs 17500 was lent at the rate of 24% per annum simple interest and the remaining part at the rate of 10% per annum simple interest. The total interest received after 5 years is Rs 13300. What is the ratio of money lent at the rate of 24% and 10%?

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By: anil on 05 May 2019 02.03 am

Let sum lent for 24% = Rs. $$100x$$ and sum lent for 10% = Rs. $$(17500-100x)$$ Time period = 5 years => Simple interest = $$frac{P imes R imes T}{100}$$ According to ques, => $$frac{100x imes24 imes5}{100}+frac{(17500-100x) imes10 imes5}{100}=13300$$ => $$120x+(175-x) imes50=13300$$ => $$120x+(175 imes50)-50x=(175 imes76)$$ => $$70x=175(76-50)$$ => $$x=frac{175 imes26}{70}=65$$ $$ herefore$$ Required ratio = $$frac{100 imes65}{17500-(100 imes65)}$$ = $$frac{6500}{11000}=frac{65}{110}=13:22$$ => Ans - (D)

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