Question

the cost price of 16 pens is the same as the selling price of 12 pens .The percentage of profit is​

Answer 1

Answer:

Let 16 pens cost Rs.100. Hence 1 pen will cost 100/16.

SP of 12 pens = Rs.100. Hence SP of 1 pen = 100/12

Profit = 100/12 - 100/16= 800-600/96 or 200/96

Or 25/12.

Proit % = profit ÷ cp x 100 = 25/12 × 16/100 x100

= 100/3 or 33.33%

Step-by-step explanation:

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Answer 2

Answer:-

Your Answer Is 33.33%.

Explanation:-

Given:-

• Cost Price (CP) of 16 pens = Selling price (SP) of 12 pens.

To Find:-

• The Profit percentage.

Formula Used:-

$\\ \orange{1. \: \: \boxed{ \purple{ \bf Profit = SP -CP .}}}$

$\\ \orange{2. \: \: \boxed{ \purple{ \bf Profit \% = \frac{Profit}{CP} \times 100 \% .}}}$

So ATQ:-

$\\ \tt\mapsto 16 \:CP = 12\: SP.$

$\\ \tt\mapsto CP = \dfrac{12\:SP}{16}.$

$\\ \tt\mapsto \dfrac{CP}{SP} = \cancel\dfrac{12}{16}.$

$\\ \large \underline{\bf\mapsto{ \underline{ \dfrac{CP}{SP} = \dfrac{3}{4}.}}}$

So let CP be 3x And SP be 4x.

Hence,

$\\ \bf \mapsto Profit = SP - CP.$

$\\ \tt\mapsto profit = 4x - 3x.$

$\\ \large \underline{\bf\mapsto { \underline{profit = x.}}}$

Therefore,

$\\ \bf \mapsto Profit \% = \frac{Profit}{CP} \times 100 \% .$

$\\ \tt \mapsto Profit \% = \frac{ \cancel x}{3 \: \cancel x} \times 100 \%.$

$\\ \tt \mapsto Profit \% = \frac{1}{3} \times 100 \%.$

$\\ \tt \mapsto Profit \% = \frac{100 \%}{3} .$

$\\ \large\red{\mapsto \boxed{ \blue{ \bf Profit \% =33.33 \%.}}} \: \: \rm \{approx \}.$

Therefore Profit Percentage is 33.33%.