An article was sold at a loss of 18 If it was sold for Rs 2 475 more then there would have been a pr...........

Quantitative Aptitude (MTS) Profit and loss

An article was sold at a loss of 18%. If it was sold for Rs 2,475 more, then there would have been a profit of 12% . The cost price

of the article is:

This questions was previously asked in

SSC MTS 7th October 2021 Shift-1

Rs 8,250

Rs 8,500

Rs 8,000

Rs 8,200

- Let's break down the problem:

- Initial sale results in an 18% loss.

- Selling it for Rs 2,475 more puts it at a 12% profit.

- This gives us two equations:

- \(0.82 \times \text{Cost Price} = \text{Selling Price}\)

- \(1.12 \times \text{Cost Price} = \text{Selling Price} + Rs 2,475\)

- Let's use the equations:

- \((1.12 \times \text{Cost Price}) - 0.82 \times \text{Cost Price} = Rs 2,475 \)

- \((0.3 \times \text{Cost Price} = Rs 2,475)\)

- Cost Price = Rs \(2,475 / 0.3 = 8,250\)

- Hence, the correct option is Option 1: Rs 8,250

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