A dishonest dealer professes to sell his goods at cost price but uses a false weight of 950 grams instead of 1 kilogram. His gain percentage is:

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 2)
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  1. 6\(\frac{5}{19}\)%
  2. 7\(\frac{5}{19}\)%
  3. 4\(\frac{5}{19}\)%
  4. 5\(\frac{5}{19}\)%

Answer (Detailed Solution Below)

Option 4 : 5\(\frac{5}{19}\)%
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

A dishonest dealer uses a false weight of 950 grams instead of 1 kilogram (1000 grams) and claims to sell at cost price.

Formula Used:

Gain Percentage, G% = ((True weight - False weight) / False weight) × 100

Calculation:

True weight = 1000 grams

False weight = 950 grams

Gain = True weight - False weight

Gain = 1000 - 950 = 50 grams

G% = (50 / 950) × 100

G% = (50 × 100) / 950

G% = 5000 / 950 = 100/19

G% = 5\(\frac{5}{19}\)%

The gain percentage is 5\(\frac{5}{19}\) %.

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