A and B shared a profit of Rs 24500 in the proportion 3 : 7. Each of

1.	A and B shared a profit of Rs 24500 in the proportion 3 : 7. Each of them gave 2% of his share of the profit to the Soldiers’ Welfare Fund. What was the actual amount given to the Fund by each of them?
Answer» Proportion of share = 3:7 Let the profits of A and B be Rs 3x and Rs 7x respectively. 3x + 7x = 24500 ∴ 10x = 24500 ∴ x = 24500/10 = 2450 ∴ Profit earned by A = 3x = 3 × 2450 = Rs 7350 Amount given by A = 2% of his profit = 2/100 × 7350 = Rs 147 Profit earned by B = 7x = 7 × 2450 = Rs 17150 Amount given by B = 2% of his profit = 2/100 × 17150 = Rs 343 ∴ The amount given by A and B to the Soldiers’ Welfare Fund are Rs 147 and Rs 343 respectively.

A and B shared a profit of Rs 24500 in the proportion 3 : 7. Each of them gave 2% of his share of the profit to the Soldiers’ Welfare Fund. What was the actual amount given to the Fund by each of them?

Answer»

Proportion of share = 3:7

Let the profits of A and B be Rs 3x and Rs 7x respectively.

3x + 7x = 24500

∴ 10x = 24500

∴ x = 24500/10 = 2450

∴ Profit earned by A = 3x = 3 × 2450 = Rs 7350

Amount given by A = 2% of his profit

= 2/100 × 7350 = Rs 147

Profit earned by B = 7x = 7 × 2450 = Rs 17150

Amount given by B = 2% of his profit

= 2/100 × 17150

= Rs 343

∴ The amount given by A and B to the Soldiers’ Welfare Fund are Rs 147 and Rs 343 respectively.