Question

Raj and ali invest in a business in the ratio 3:2. they give away 20% of their profit to charity and share the remaining profit in the same ratio as their invetsment. if raj gets rs. 2400, what is the total profit?

Answer 1

Let us assume total profit made by Raj and Ali = Rs x
They give 20% of their profit in charity.
So, remaining profit = 80%
Distribution of profit between Raj and Ali  in 3:2 ratio of remaining profit.
So, Raj's share of profit = $\frac{80}{100}$×$\frac{3}{5}$ × x
Given , Raj's share of profit = Rs 2400
Hence, $\frac{80}{100}$×$\frac{3}{5}$ × x = 2400
=> $\frac{4}{5}$ ×$\frac{3}{5}$ × x = 2400
=> x = $\frac{2400 * 5 *5}{4*3}$
=>x = 5000
Ans: Their total profit is Rs 5000.

Answer 2

Let the total profit be Rs. 100.

After paying to charity, A's share = (95*3/5) = Rs. 57.

If A's share is Rs. 57, total profit = Rs. 100.

If A's share is Rs. 855, total profit = (100/57*855) = 1500.