The cash difference between the selling prices of an article at a profit of 8 and at a loss of 4 is ...........

Quantitative Aptitude (MTS) Profit and loss

The cash difference between the selling prices of an article at a profit of 8% and at a loss of 4% is Rs54. Find the cost price of

the article.

This questions was previously asked in

SSC MTS 8th July 2022 Shift-2

Rs720

Rs450

Rs540

Rs480

- To find the cost price of the article, set up equations based on the given conditions.

- Let the cost price be Rs \( x \).

- Selling price with an 8% profit: \( x \times \frac{108}{100} = 1.08x \)

- Selling price with a 4% loss: \( x \times \frac{96}{100} = 0.96x \)

- The difference between these prices is Rs 54: \( 1.08x - 0.96x = 54 \)

- Simplify the equation: \( 0.12x = 54 \)

- Solving for \( x \): \( x = \frac{54}{0.12} \)

- Calculate: \( x = 450 \)

- Options:

- Option 1: Rs 720

- Option 2: Rs 450

- Option 3: Rs 540

- Option 4: Rs 480

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