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

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.

Answer 2

Answer:

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

Now,

\

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

$\begin{gathered} \sf{Share \: of \: A = 3x = 3 × 2450 = 7350} \\ \sf{Share \: of \: B = 7x = 7 × 2450 = 17150}\end{gathered} </p><p>ShareofA=3x=3×2450=7350</p><p>ShareofB=7x=7×2450=17150$

\

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

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

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