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A dishonest shopkeeper profess to sell his goods at his cost price and uses a little less weight for a kilogram, thus gains 100/9%. How many grams does he use for a kilogram?
  • a)
    500
  • b)
    700
  • c)
    900
  • d)
    800
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A dishonest shopkeeper profess to sell his goods at his cost price and...
Let cost price of 1000grams be Rs. x
Suppose he uses y grams instead of 1kg
⇒ Cost price of y grams = y × x/1000
⇒ xy/1000
But selling price of y grams = x
Profit% = (SP – CP)/CP × 100
⇒ {x – xy/1000}/(xy/1000) × 100
Given profit % = 100/9
⇒ {x – xy/1000}/(xy/1000) × 100 = 100/9
⇒ (1000x – xy)/xy × 100 = 100/9
⇒ (1000 – y)/y × 100 = 100/9
⇒ 9000 – 9y = y
⇒ 10y = 9000
⇒ y = 900
∴ the shopkeeper uses 900 gram instead of 1 kg
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A dishonest shopkeeper profess to sell his goods at his cost price and uses a little less weight for a kilogram, thus gains 100/9%. How many grams does he use for a kilogram?a)500b)700c)900d)800Correct answer is option 'C'. Can you explain this answer?
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