Question

Out of Rs. 20,000/- Prakash gives some amount on loan at simple interest rate 8% per annum and rest amount at smple interest rate \(\frac{4}{3}\%\) per annum. At the end of year be earns Rs. 800/-. The amount given at 8% rate will be ______
1. Rs. 8,000/-
2. Rs. 12,000/-
3. Rs. 6,000/-
4. Rs. 10,000/-

Answer 1

Correct Answer - Option 1 : Rs. 8,000/-

Given:

Prakash gives a total amount of 20000 rupees on loan

He gives some part of 8% per annum & rest at 4/3% per annum.

Calculations:

Let the amount given on 8 % interest be ' x ' rupees

The amount given on (4/3)% interest be '20000 - x' rupees

According to the question

8% of x + (4/3)% of (20000 - x) = 800

⇒ (8/100)x + (4/300) of (20000 - x) = 800

⇒ 8x - (80000/3) - (4/3)x = 80000

⇒ 8x - (4/3)x = 160000/3

⇒ (20/3)x = 160000/3

⇒ x = 8000, & 20000 - x = 12000

So the amount given at 8% = x = Rs. 8000

∴ The correct choice will be option 1.