Question

A person lent a part of Rs.7000 at 6$\%$ p.a. and the remaining at 4$\%$ per annum. The interest he received from both the parts in 5 years was Rs.1600. The sum lent at 6% p.a. is ______.

• A. Rs.2000
• B. Rs.2500
• C. Rs.3500
• D. Rs.4000

Answer 1

The correct option is A

Rs.2000

$\text{Overall rate on interest}=\frac{1600\times 100}{5\times 7000}=\frac{32}{7}\%$

$\text{Ratio of two amounts}=2:5\therefore \text{Amount lent at}6\%=\frac{7000}{7}\times 2=\text{Rs. 2000}$​