What is profit percentage of the cost price is 25 pens is equal to selling price of 20 pens?

CP of 25 pens = SP 20 pens $$\frac{{{\text{CP}}}}{{{\text{SP}}}} = \frac{{20}}{{25}} = \left. {\frac{4}{5}} \right)1 = {\text{Profit}}$$

$$\eqalign{ & {\text{Profit }}\% = \frac{1}{4} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 25\% \cr} $$

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Correct Answer:

Description for Correct answer:

CP of 25 pen = S.P of 20 pen\( \Large \frac{CP}{SP}=\frac{20}{25}=\frac{4}{5}> \)1 = profit

profit % \( \Large =\frac{1}{4} \times 100 = 25\% \)

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Given:

The cost price of 20 pens is equal to the selling price of 15 pens

Formula used:

Gain = selling price – cost price

Gain % = (Gain × 100)/C.P

Calculation:

Let cost price be 1 pen is Rs. x

Then, the cost price of 15 pens = Rs. 15x

The selling price of 15 pens = Rs. 20x

According to the question:

Gain = 20x – 15x = 5x

Gain % = (5x × 100)/15x

⇒ 100/3 = 33.3%

∴ The gain percent is 33.3%.

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