What was his profit in gift item business ?

Question

A business man invested 45% of the sum in dry fruit business, 35% of the sum in gift item business and 25% of the sum in fruit business. In a year he received a profit of 1 million rupee in dry fruit business and fruit business both. In gift item business he got a percentage profit equal to the sum of profit percentage in dry fruit and fruit business.

What was his profit in gift item business ?

Answer 1

Let total investment = A (million rupee)
investment in dry fruit business = .45 A
so % profit = 1(100)/(.45*A)
similarly in fruit business
% profit = 1*(100)/ (0.20A)
Net % profit = 100/(0.45A) + 100/(0.20A)
So profit in gift item business
= [100/(0.45A) + 100/(.020A)]*(.35A/100)
= .35(1/.45 + 1/.20)
= (.35*.65)/(.45*.20)
= 35*65/45*20 = 2.53 million