Question

Two Persons A & B invested in a business in the ratio 3 : 9 and they earned a profit of 40% on the total amount invested. The share of A’s profit came out to be Rs. 5000 then, what is the amount invested by B?

1. Rs. 20,000
2. Rs. 50,000
3. Rs. 37,500
4. Rs. 12,500

Answer 1

Correct Answer - Option 3 : Rs. 37,500

Given:

Ratio of investment of A and B = 3 : 9

Profit% on total amount invested = 40%

Profit of A = Rs. 5000

Concept used:

We know that the ratio in which the investment is done, the profit is also distributed in the same ratio if nothing is mentioned. 

Calculation:

Let P be the total profit obtained

So, Rs. 5000 = (3/12) × P

⇒ P = Rs. 20,000

Let A be the total amount invested by A & B

Given that profit earned is 40%, hence

Rs. 20,000 = (40/100) × A

We get, A = Rs. 50,000

Amount invested by B = (9/12) × 50000

⇒ B = Rs. 37,500

∴ The amount invested by B is Rs. 37,500