Question

8. A trust fund has invested Rs. 30,000 in two different types of bonds which pays 5% and 7% interest
respectively. Determine how much amount is invested in each type of bond if trust obtains an annual
total interest of Rs. 1600.​

Answer 1

Answer:

25,000 rupees invested in 5% bond and 5,000 rupees is invested in 7% bond.

Step-by-step explanation:

Consider the provided information.

A trust fund has invested Rs. 30,000 in two different types of bonds which pays 5% and 7% interest  respectively.

Let x is the amount invested in 5% bonds

Therefore, 30,000-x is the amount invested in 7% bond.

The total annual interest is Rs. 1600.

$\frac{5}{100}x+\frac{7}{100}(30000-x)=1600$

$0.05x+0.07(30000-x)=1600$

$0.05x+2100-0.07x=1600$

$-0.02x=1600-2100$

$0.02x=500$

$x=25000$

30,000-25,000=5,000 is the amount invested in 7% bond.

Hence, 25,000 rupees invested in 5% bond and 5,000 rupees is invested in 7% bond.