Question
A person purchases 50 shares of a company at a price of
Rs 80 per share. He sells part of these shares at a 25% profit and the rest at a 15% loss. If his overall profit percentage is 9%, determine the ratio of shares sold at a profit to those sold at a loss.Solution
Cost Price of 50 shares = 50 × 80 = 4000 Let x shares are old at 25% profit and (50-x) shares are sold at 15% loss Selling Price of x shares at 25% profit = x× 80 × 1.25 = 100x Selling Price of (20-x) shares at 15% loss = (50-x)× 80 × 0.85 = 68×(50-x) Total Selling Price = 100x + 68×(50-x) = 32x+3400 And he gains 9% profit so, selling price = 109% of 4000 = 4360 32x+3400 = 4360 32x = 960 x = 30 number of shares sold on loss = 50-30 = 20 required ratio = 3: 2
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