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On selling 9 articles Payal earns loss of cost price of 3 articles. Find loss% in this transaction.
1. 12%
2. 25.6%
3. \(33\frac{1}{3}\)%
4. 12.5%

1 Answer

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Correct Answer - Option 3 : \(33\frac{1}{3}\)%

Formula Used:

Loss = Cost price - Selling price

Loss% = Loss/ Cost price × 100

Calculation:

Let assume that cost price of 1 article be CP

⇒ so, cost price of 9 article = 9CP

The selling price of 1 article be SP

⇒ So, selling price of 9 articles = 9SP

Loss = Cost price - Selling price

⇒ 3CP = 9CP - 9SP

⇒ 6CP = 9SP

⇒ CP/SP = 9/6

⇒ CP/SP = 3/2

⇒ Loss = 3 units - 2 units = 1 unit

Loss% = Loss/Cost price × 100

⇒ Loss% = 1/3 × 100 = \(33\frac{1}{3}\)%

The correct option is 3 i.e. \(33\frac{1}{3}\)%

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