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in Direct Proportion and Inverse Proportion by (46.9k points)
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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?

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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.

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