Question

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

Answer 1

The proportion of Chinmaya’s and Sam’s investment is 3: 2.

The profit is shared in the same proportion as the investment, hence, the proportion of profit is 3: 2.

Let Chinmaya’s investment be 3y and Sam’s 2y.
3y + 2y = Total investment.
∴ 5y = 130000

`5/(5y) = 130000/5`..... (dividing by 5)

∴ y = 26000

∴ Chinmaya’s investment = 3y = 3 × 26000 = 78,000

Sam’s investment = 2y = 2 × 26000 = 52000 rupees

Let Chinmaya’s profit be 3x and Sam’s 2x.
3x + 2x = Total Profit
5x = 36000

`5/(5x) = 36000/5`

∴ x = 7200

∴ Chinmaya’s profit = 3x = 3 × 7200 = 21600

Sam’s profit = 2x = 2 × 7200 = 14400 rupees