Question
A merchant bought 150 items at Rs. 48 each. He sold some
of them at a profit of 25% and the remaining at a loss of 15%. If the overall gain made by him is 5%, find the number of items sold at 25% profit.Solution
ATQ,
Cost price of 150 items = 150 × 48 = Rs. 7200
Selling price of 150 items = 1.05 × 7200 = Rs. 7560
Let number of items sold at a profit of 25% be ‘x’
Therefore, number of items sold at a loss of 15% = (150 – x)
So, 1.25 × 48 × x + 0.85 × 48 × (150 – x) = 7560
Or, 1.25x + 127.5 – 0.85x = 7560/48 = 157.5
Or, 0.4x = 30
Or, x = 75
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