Question

Chinmaya and Sam invested a total of ₹130000 in a business in the proportion 3:2 respectively. What amount did each of them invest? If their total profit was ₹36000 , what is the share of each?

Answer 1

The proportion of Chinmaya’s and Sam’s investment is 3:2. The profit should be shared in the same proportion as the investment, hence, proportion of profit is 3:2.
Let Chinmaya’s investment be 3y and Sam’s 2y.
3y + 2y = Total investment.
$\therefore 5y=130000$
$\frac{5y}{5}=\frac{130000}{5}\text{..... (dividing by 5)}$
$\therefore y=26000$
$\therefore \text{Chinmaya’s investment}=3y=3\times 26000=₹78,000$
$\text{Sam’s investment}=2y=2\times 26000=₹52000$
Now,Let Chinmaya’s profit be 3x and Sam’s 2x.
3x + 2x = Total Profit
5x = 36000
$\frac{5x}{5}=\frac{36000}{5}$ .... (dividing by 5)
$\therefore x=7200$
$\therefore \text{Chinmaya’s profit}=3x=3\times 7200=₹21600$
$\text{Sam’s profit}=2x=2\times 7200=₹14400$