Question
Sara sold 30 scarves at a profit of 25%. If she had sold
all the scarves for Rs. 3000 more, her overall profit would have been 50%. What is the selling price of 20 scarves at 35% profit?Solution
Let the cost price of each scarf be Rs. s. Initial selling price of all scarves = 1.25 × 30 × s = Rs. 37.5s According to the question, 37.5s + 3000 = 1.5 × 30s Or, 45s - 37.5s = 3000 Or, 7.5s = 3000 Or, s = 400 Therefore, the selling price of 20 scarves at 35% profit = 20 × 1.35s = Rs. 10800
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