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

this is the correct answer for question.

Answer 2

Qᴜᴇꜱᴛɪᴏɴ:

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?

ɢɪᴠᴇɴ:

• A and B shared a profit of 24500 ₹
• In the proportion 3:7
• Each gave 2% of their share

ᴛᴏ ꜰɪɴᴅ:

The actual amount given to the Fund by each of them

ꜱᴏʟᴜᴛɪᴏɴ:

Let the share of A be 3x, and share of B be 7x.

Now,

$➠ \: \sf{3x + 7x = 24500} \\ ➠ \: \sf{10x = 24500} \\ \\ ➠ \: \sf{x = { \cancel{ \frac{24500}{10} }}} \\ \\ { \underline{ \boxed{ \red{ \tt{x = 2450}}}}}$

$\sf{Share \: of \: A = 3x = 3 × 2450 = 7350} \\ \sf{Share \: of \: B = 7x = 7 × 2450 = 17150}$

$\sf{share \: of \: profit \: of \: A\: given = 2\% \: of \: 7350} \\ \tt{ ➠ \frac{2}{10{ \cancel 0}} \times 735{ \cancel{0}} } \\ \\ \tt{ ➠ \frac{147{ \cancel{0}}}{1{ \cancel{0}}} } \\ \\ \tt{ ➠ 147}$

$\sf{ share \: of \: profit \: of \: B \: given = 2\% \: of \: 17150} \\ \tt{ ➠ \frac{2}{10{ \cancel{0}}} \times 1715{ \cancel{0}} } \\ \tt{ = 343}$

➦ The actual amount given to the Fund by each of them was 147 and 343 respectively.