Question

Three friends A, B, and C invested Rs. 20,000, Rs. 18,000, and Rs. 14,000, respectively in a business. If at the end of the year they got a profit of Rs. 7,800, then the profit share of B would be:
1. Rs. 4,200
2. None of the above
3. Rs. 2,700
4. Rs. 3,700

Answer 1

Correct Answer - Option 3 : Rs. 2,700

Given:

Investment of A = Rs. 20000

Investment of B = Rs. 18000

Investment of C = Rs. 14000

Profit = Rs. 7800

Formula used:

Profit = Investment × Time

Calculations:

⇒ A × 12 : B × 12 : C × 12

⇒ 20000 × 12 : 18000 × 12 : 14000 × 12

⇒ A : B : C = 20 : 18 : 14

⇒ A : B : C = 10 : 9 : 7

Let, the ratio is 10x, 9x and 7x

⇒ 10x + 9x + 7x = 7800

⇒ 26x = 7800

⇒ x = 300

⇒ Profit share of B = 9x

⇒ Profit share of B = 9 × 300

⇒ Profit share of B = Rs. 2700

∴ The profit share of B is Rs. 2700.