Question
A trader pretends to sell sugar at cost price but uses a
weight of 'X' grams instead of 1,000 grams. If the profit percentage earned is (300/17)%, then what is the value of 25% of 'X'?Solution
ATQ,
Let the cost price of 1,000 gm sugar be Rs. 1,000
Cost price of 'X' gm sugar = (1,000/1,000) × X = Rs. X
And, selling price of 'X' gm sugar = Rs. 1,000
So, profit earned = Rs. (1,000 - X)
Therefore, [(1,000 - X) ÷ X] × 100 = (300/17)
Or, 17 × (1,000 - X) = 3X
Or, 17,000 - 17X = 3X
Or, 20X = 17,000
So, X = (17,000 / 20) = 850
Therefore, required value = 0.25 × 850 = 212.5
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