A bag is sold at a discount of 12 5 The marked price of the bag is Rs6 400 and the profit earned is ...........

Quantitative Aptitude (MTS) Profit and loss

A bag is sold at a discount of 12.5%. The marked price of the bag is Rs6,400 and the profit earned is 25%. What is the cost price

of the bag?

This questions was previously asked in

SSC MTS 5th July 2022 Shift-2

Rs4,120

Rs4,260

Rs4,480

Rs4,640

- The marked price (MP) of the bag is Rs6,400.

- A discount of 12.5% is applied to this price.

- So, the selling price (SP) is calculated as \( SP = MP \times (1 - \frac{12.5}{100}) = 6400 \times 0.875 = Rs5,600 \).

- The profit earned is given as 25%.

- Using the profit formula, \( Profit = SP - Cost Price (CP) \) and \( Profit \% = \frac{Profit}{CP} \times 100 \).

- Rearranging, we have \( CP = \frac{SP}{1 + \frac{Profit \%}{100}} = \frac{5600}{1.25} = Rs4,480 \).

Correct Answer: Option 3 - Rs4,480

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