A dishonest shopkeeper sells goods to a customer at a profit of T% over the cost price and also weighs 800 g instead of 1 kg. His total profit percentage is 40%. What is the value of T?

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SSC GD Constable (2022) Official Paper (Held On : 08 Feb 2023 Shift 4)
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  1. 12
  2. 40
  3. 10
  4. 24

Answer (Detailed Solution Below)

Option 1 : 12
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Detailed Solution

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Given

He gains T% when he sells his articles.

He uses 800 grams in place of a kilogram or 1000 gram

Formula Used

Gain% = [(100 + profit%) × (Original weight/Altered weight)] – 100

Calculation

Let 1000 gm be Rs.1000.

Original weight = 1 kg = 1000 gram

Altered weight = 800 gram

Profit occurred = T%

CP of 800 gm = Rs. 800

SP = 800 × 140/100 = 1120

T% = (1120 - 1000)/1000 × 100

⇒ 120/1000 × 100 = 12%

∴ The answer is 12%

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