Question

A part of 1500 was lent at 10%p.a. and rest at 7%p.a.of the simple interest. the total interest earned in 3 years was 396 .what is the sum lent at 10%p.a.????

Answer 1

Please see the attachment

Answer 2

Answer:

Rs.900

Step-by-step explanation:

A part of 1500 was lent at 10%p.a. and rest at 7%p.a.of the simple interest.

Let the principal for 10% be x

We are given that the remaining is at 7%

So, Principal at 7% = 1500-x

We are given that the total interest earned in 3 years was 396

So, we need to find the simple interest of both cases and need to add them

Formula : $SI = \frac{P\times R \times T}{100}$

$396 = \frac{x\times 10 \times 3}{100}+ \frac{(1500-x) \times 7 \times 3}{100}$

$396 = \frac{3x}{10}+ \frac{21(1500-x) }{100}$

$x=900$

Hence  the sum lent at 10%p.a. is 10%