A dishonest shopkeeper pretends to sell his goods at cost price, but uses a false weights and gains \(11\frac{1}{9}\%\). For a weight of a kg, he uses:

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 1)
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  1. 900 gm weight
  2. 850 gm weight
  3. 950 gm weight
  4. 875 gm weight

Answer (Detailed Solution Below)

Option 1 : 900 gm weight
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Detailed Solution

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Given:

Gain percentage = \(11\frac{1}{9}\%\) = \(\frac{100}{9}\%\)

Formula used:

Gain % = (Error / (True Value - Error)) × 100

Calculation:

\(\frac{100}{9}\) = (Error / (1000 - Error)) × 100

\(\frac{1}{9}\) = Error / (1000 - Error)

⇒ 1000 - Error = 9 × Error

⇒ 1000 = 10 × Error

⇒ Error = 100

True value - Error = 1000 - 100 = 900

∴ He uses 900 grams instead of 1000 grams.

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