Question
A shopkeeper cheats his customer by using faulty weight and
earns profit percent of 12% after selling. How much less the shopkeeper will sell when the customer wants to purchase 5.04 kg?Solution
Let price of 1 kg = 1000
Let he sell 'x' grams at cost of 1 kg.
SP of 'x' grams = 1000
SP of 1 kg = (1000/x) * 1000 = (1000000/x)
Profit amount = (1000000/x) - 1000
Profit percent = [(1000000/x) - 1000]/1000 * 100 = 12
(1000/x) - 1 = 0.12
1000/x = 1 + 0.12 = 1.12
x = 1000/1.12
Amount given at the purchase of 5.04 kg = (1000/1.12) * 5.04 = 4500 grams
Less amount given = 5040 - 4500 = 540 grams
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