A dishonest dealer professes to sell his goods at the cost price, but he uses a false weight of 850 grams per 1 kg weight. Find the percentage of his gain. (Correct up to two decimal places)

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 09 Jul, 2024 Shift 2)
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  1. 17.65%
  2. 17.45%
  3. 17.56%
  4. 17.54%

Answer (Detailed Solution Below)

Option 1 : 17.65%
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

A dishonest dealer professes to sell his goods at the cost price, but he uses a false weight of 850 grams per 1 kg weight.

Formula used:

Percentage gain = \(\left(\dfrac{\text{True Weight} - \text{False Weight}}{\text{False Weight}}\right) ×\) 100

Calculation:

True Weight = 1000 grams

False Weight = 850 grams

⇒ Percentage gain = \(\left(\dfrac{1000 - 850}{850}\right) ×\) 100

⇒ Percentage gain = \(\left(\dfrac{150}{850}\right) ×\) 100

⇒ Percentage gain = 0.1765 × 100

⇒ Percentage gain = 17.65%

∴ The correct answer is option (1).

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