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A dishonest shopkeeper sells his grocery at celling price and earns a profit equal to 20% of his selling price. If he uses false weight to make this gain, find the weight lose per kilogram that lead to the profit if he sold 25 Kg of goods at Rs. 20 per kilogram.
  • a)
    100 g
  • b)
    150 g
  • c)
    200 g
  • d)
    250 g
  • e)
    300 g
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A dishonest shopkeeper sells his grocery at celling price and earns a...
Given
Selling price = Cost price
The gain obtained by selling at cost price = 20% of cost price
Bought 25 Kg of goods at Rs. 20/ Kg.
By selling 25 Kg shopkeeper gains 20%.
Total cost price = 25 × 20 = Rs. 500
The profit obtained on selling 25 Kg = 20% of 500
=500×(20/100) = Rs. 100
That means profit in weight corresponding to profit in money = Profit/cost price
⇒ Profit in weight
=100/20 = 5 Kg
That is, out of 25 Kg weight, the shopkeeper actually uses only 20 Kg.
The loss per kilogram =5/25
⇒ Loss of weight per kilogram =1/5 kg = 200g
∴ The weight shopkeeper reduces to get a 20% gain on selling 25kg is 200g per kilogram weight.
Hence, the correct option is (C).
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A dishonest shopkeeper sells his grocery at celling price and earns a profit equal to 20% of his selling price. If he uses false weight to make this gain, find the weight lose per kilogram that lead to the profit if he sold 25 Kg of goods at Rs. 20 per kilogram.a)100 gb)150 gc)200 gd)250 ge)300 gCorrect answer is option 'C'. Can you explain this answer?
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