Question

A sum of Rs. $1,550$ was lent partly at $5\%$ and partly at $8\%$ simple interest. The total interest received after $3$ years was Rs. $300$. The ratio of money lent at $5\%$ to $8\%$ is

• A. $31:6$
• B. $16:15$
• C. $31:16$
• D. $6:5$

Answer 1

Answer: (B)

$16:15$

If x is lent at 5%, then $(1550-x)$ is lent at 8%. Annual interest is Rs 100.
$⟹5\%x+8\%(1550-x)=100⟹x=800$.
Required ratio of money $=800:750=16:15$