Question

A sum of Rs. 1,550 was partly lent at 5% and 8% p.a for three years. Interest earned for Rs. 1,550 which was partly lent at 5% and 8% p.a. was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is

• A. 8 : 5
• B. 5 : 8
• C. 16 : 15
• D. 15 : 16

Answer 1

Answer: (C)

16 : 15

let the sum lent at 5% be rs.x and that lent at 8% be rs.(1550-x). then,

$\Rightarrow \frac{(x\times 5\times 3)}{100}+\frac{(1550-x)\times 8\times 3}{100}=300$

$\Rightarrow 15x-24x+(1550\times 24)=30000$

$\Rightarrow -9x=30000-37200$

$\Rightarrow 9x=7200$

$\Rightarrow x=800$

Hence the sum lent at 5%=800

and the sum lent at 8%=1550-800=750

Required ratio=16:15