A seller uses faulty weight in place of a 2 kg weight and earns a 25% profit. He claims that he is selling on the cost price in front
of the customers but uses a faulty weight. How much error is there in the 2 kg weight to gain 25%?
This questions was previously asked in
SSC CPO 9th Nov 2022 Shift 1
Explanation:
- The seller is using a faulty weight instead of a 2 kg weight.
- He earns a 25% profit while claiming to sell at cost price.
- This means the actual weight he is using is less than 2 kg.
- To find the faulty weight:
- Suppose the faulty weight is \( x \) kg.
- According to the situation, selling price is 2 kg but actually it's x kg.
- \((2 - x) \text{ kg}\) is what accounts for the extra 25% profit.
- Calculation: \( (2 - x)/x = 0.25 \) which simplifies to \( x = \frac{8}{5} = 1.6 \) kg.
- So, the error is \(2 - 1.6 = 0.4\) kg or 400 g.
- Correct Answer: Option 2 - 400 g
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