Question

A and B invest ₹ 50000 and ₹45000 respectively in a business. After 9 months B withdrew his investment. At the end of a year they earned a profit of ₹13400. What was B’s share of profit? *

Answer 1

Answer:

total amount in 12months and 9 months

50000×12=600000

45000×9=405000

ratio of total amount

600000:405000

40:27

B shared is profit is 13400×27 than÷67 =5400

Answer 2

Given:

A's investment$=$ ₹ 50000

B's investment $=$₹45000

Total profit earned$=$₹13400

To find:  B’s share of profit.

Solution:

Find the ratio of profit of obtained by A and B.

$\[\begin{array}{l}\frac{{50000 \times 12}}{{45000 \times 9}} = \frac{{40}}{{27}}\\ \Rightarrow A's\,profit:B's\,profit = 40:27\end{array}\]$

Find B’s share of profit.

B's share of profit$\[ = \frac{{27}}{{\left( {27 + 40} \right)}} \times 13400\]$

                            $\[\begin{array}{l} = \frac{{27}}{{67}} \times 13400\\ = \frac{{361800}}{{67}}\end{array}\]$

                            $=$₹ 5400

Hence, B's share of profit is ₹ 5400.