Question

. If the selling price of 10 pens is equal to the cost price of 14 pens, find the gain percent?
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Answer 1

$\fcolorbox{red}{pink}{ \huge{Solution :)}}$

Let ,

The cost price of one pen be Rs. 100

Thus ,

The cost price of 14 pens = Rs. 1400

Since , the selling price of 10 pens is equal to the cost price of 14 pens , so

The selling price of 10 pens = Rs. 1400

The selling price of 1 pen = Rs. 1400/10 i.e 140

We know that , the formula of profit is given by

$\sf \fbox{Profit = Selling \: price - Cost \: price }$

Substitute the known values , we get

Profit on one pen = 140 - 100

Profit on one pen = 40

As we know that , the formula of profit percentage is given by

$\large \sf \fbox{Profit \: percentage = \frac{profit}{sp} \times 100}$

Substitute the known values , we get

Profit percentage = (40/100) × 100

Profit percentage = 40 %

Hence , the gain or profit percentage is 40 %

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Answer 2

Answer:

40%

Step-by-step explanation:

Let CP of each be Rs.1

Then,SP of 10 pens = CP of 14 pens

Or, SP/CP of 10 pens = Rs.10

Or, CP of 14 pens = Rs.14

So, CP=Rs.10 & SP=Rs.14

Amount of gain=14-10 =Rs.4

Gain%= 4/10×100=40%

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