Question

A sum of money rs 15000 is lent in two parts one at 7% p.A. And other 4%p.A. If the annual interest received is rs 900 what is the amount lent at 4% p.A.

Answer 1

Answer:

The amount lent at 4% p.A. is rs 5000.

Step-by-step explanation:

Consider the provided information.

A sum of money rs 15000 is lent in two parts one at 7% p.A. And other 4%p.A.

let x is the amount lent for 7% then 15000-x is the amount lent for 4%.

It is given that the total interest received is rs 900.

Thus, the above information can be written as:

7% of x + 4% of 15000-x = 900

$\frac{7}{100}x+\frac{4}{100}(15000-x)=900$

$7x+4(15000-x)=90000$

$7x+60000-4x=90000$

$3x=30000$

$x=10000$

Thus rs 10000 lent for 7% but we need to find the amount lent at 4% p.A.

15000-x is the amount lent for 4%.

Substitute the value of x = 10000 in above

15000-10000=5000

Hence, the amount lent at 4% p.A. is rs 5000.