Question

A and B shared a profit of 24500 rupees 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 1

Answer:

A's share to Soldiers' Welfare = 147 rupees

b's share to Soldiers' Welfare = 343 rupees

Step-by-step explanation:

Total profit = 24500 rupees

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A's profit : B's Profit = 3 : 7

A's profit = 3x

B's Profit = 7x

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A's profit + B's Profit = 24500

3x + 7x =  24500

x = 2450 rupees

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A's profit = 3x = 3 * 2450 = 7,350 rupees

B's Profit = 7x = 7 * 2450 = 17,150 rupees

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A's share to Soldiers' Welfare = 2% of profit = (2/100) * 7350 = 147 rupees

b's share to Soldiers' Welfare = 2% of profit = (2/100) * 17150 = 343 rupees

Answer 2

$\huge{\boxed{\boxed{\mathfrak{ \red{answer }}}}}$

$let \: the \: proportional \: ratio \: be \: x \:$

$= 3x + 7x = 24500$

$= 10x = 24500$

$x = 2450$

$profit \: share \: of$

$A = 3 \times 2450 = Rs \: 7350$

$B=7 \times 2450 \: Rs = 17150$

$soldier \: welfare \: fund \: given \: by \:$

$A = \frac{2}{100} \times 7350 = 147$

$B= \frac{2} {100} \times 17150 = 343$

$total \: fund =$

$343 + 147 = 490$