question_answer

  A man had Rs. 8400. He lent a part of it at 8% SI and the remaining at \[6\frac{2}{3}%\]SI. His total annual income was Rs. 588. Find the sum lent at different rates   

A)   Rs. 6300

B)  Rs. 7500         

C)  Rs. 4800

D)  Rs. 4500  

Correct Answer: A

Solution :

Total simple interest on Rs. 8400 for 1 yr = Rs. 588 \[\therefore \]Hate of interest \[=\frac{100\times 588}{8400\times 1}=7%\]per annum (Money at 8%) : \[\left( \text{Money}\,\,\text{at}\,\,\text{6}\frac{2}{3}% \right)=\frac{1}{3}:1=1:3\] Money lent at 8% = Rs.\[\left( 8400\times \frac{1}{4} \right)\]= Rs. 2100 Money lent at\[6\frac{2}{3}%\]= Rs. \[\left( 8400\times \frac{3}{4} \right)\]=Rs. 6300