# A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, find the total profit.

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by pravin3103

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by pravin3103

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after paying to charity A's share = ( 95 × 3/5) = Rs 57

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

if A's share is Rs 885 , total profit = ( 100 /57×855)= 1500

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Shares of A and B in profit also are in the ratio 3 : 2

Let the total profit be Rs P.

Remaining profit after donation to Charity : Rs (95% P) = 0.95 P

Share of A in remaining profit : (0.95 P) * 3 / (3+ 2)

= 0.57 P = Rs 855

**Hence P = Rs 855 / 0.57 = Rs 1500**

Let the total profit be Rs P.

Remaining profit after donation to Charity : Rs (95% P) = 0.95 P

Share of A in remaining profit : (0.95 P) * 3 / (3+ 2)

= 0.57 P = Rs 855