Question
A trader advertises that he sells sugar at cost price
but uses a false weight where ‘N’ grams is shown as 1 kilogram. If he earns a profit of 25% per kg of sugar, then what is the value of (0.5N - 140)?Solution
ATQ,
Let the cost price of 1 gm sugar be Rs. 'y' Cost price of 1,000 gm sugar = Rs. 1000y So, selling price of 1,000 gm sugar = Rs. 1000y But he actually gives only N gm, so actual cost price = Rs. Ny Now, [(1000y - Ny) ÷ Ny] × 100 = 25 Or, [(1000 - N)/N] × 100 = 25 Or, 1000 - N = 0.25N Or, 1.25N = 1000 So, N = 800 Required value = 0.5 × 800 - 140 = 260
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