A and B invest in a business in the ratio of 3 : 2. If 5% of the total profit goes to a charity and A's share is ₹ 4275, then what will be the total profit?

Let total profit = N
Paid to charity = 5% of N = (5 x N)/100 = N/20
∴ Balance profit = N - N/20 = 19N/20
∴ A's share = (19N/20) x (3/5) = 57N/100
According to the question.
57N/100 = 4275
∴ N = (4275 x 100)/57 = 7500
Hence. total profit = ₹ 7500