Sudhir had Rs 45,000. He lent a part of it at 4% p.a. and the remaining at 10% p.a. simple interest. He earned a total profit at 8% p.a. on the money lent, what sum did he lend at 10% p.a. ?
Answer & explanation
Correct answer: option 4
$\text{Total money}=45000.$
$\text{Overall rate}=8\%.$
$\text{Rates}=4\%,\;10\%.$
$\text{By alligation:}$
$4\% \;\;\;\;\;\;\;\; 10\%$
$\;\;\;\;\;\;8\%$
$10-8=2,\;\;8-4=4.$
$\text{Ratio at }4\%:10\% = 2:4 = 1:2.$
$\text{Money at }10\%=\frac{2}{3}\times45000=30000.$
$\text{Sum lent at }10\% = ₹30,000.$