Question

if cost price of 20 pencils = selling price of 16 pencils. Find the profit percentage. ​

Answer 1

$\sf{\star}$ Given:-

CP of 20 pencils = SP of 16 pencils.

$\sf{\star}$ To find:-

The profit percentage.

$\sf{\star}$ Assumption:-

Let the CP of 20 pencils = SP of 16 pencils = x

$\sf{\star}$ Solution:-

CP of 20 pencils = x

CP of 1 pencil = $\sf{\dfrac{x}{20}}$

SP of 16 pencils = x

SP of 1 pencil = $\sf{\dfrac{x}{16}}$

Here,

SP > CP

Hence there is a profit.

Therefore,

Profit = SP - CP

= $\sf{Profit = \dfrac{x}{16}-\dfrac{x}{20}}$

= $\sf{Profit = \dfrac{5x-4x}{80}}$

= $\sf{Profit = \dfrac{x}{80}}$

Now,

$\sf{Profit\% = \dfrac{Profit}{CP}\times100}$

= $\sf{Profit\% = \dfrac{x}{80}}$ ÷ $\sf{\dfrac{x}{16}\times 100}$

= $\sf{Profit\% = \dfrac{x}{80}\times \dfrac{16}{x}\times100}$

= $\sf{Profit\% = \dfrac{\cancel{x}}{\cancel{80}}\times \dfrac{\cancel{16}}{\cancel{x}}\times 100}$

= $\sf{Profit\% = \dfrac{1}{5}\times100}$

= $\sf{Profit\% = 20\%}$

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$\sf{\star}$ Important notes:-

• When SP > CP there is a profit.

• When CP > SP there is a loss.

• Loss = CP - SP

• Profit = SP - CP

• $\sf{Loss\% = \dfrac{Loss}{CP}\times100}$

• $\sf{Profit\% = \dfrac{Profit}{CP}\times 100}$

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Answer 2

$\sf{\star}$ Given:-

CP of 20 pencils = SP of 16 pencils.

$\sf{\star}$ To find:-

The profit percentage.

$\sf{\star}$ Assumption:-

Assumption:-Let the CP of 20 pencils = SP of 16 pencils = x

$\sf{\star}$ Solution:-

CP of 20 pencils = x

CP of 1 pencil = $\sf{\dfrac{x}{20}}$

SP of 16 pencils = x

SP of 1 pencil = $\sf{\dfrac{x}{16}}$

Here,

SP > CP

Hence there is a profit.

Therefore,

Profit = SP - CP

= $\sf{Profit = \dfrac{x}{16}-\dfrac{x}{20}}$

= $\sf{Profit = \dfrac{5x-4x}{80}}$

= $\sf{Profit = \dfrac{x}{80}}$

Now,

$\sf{Profit\% = \dfrac{Profit}{CP}\times100}$

= $\sf{Profit\% = \dfrac{x}{80}}$ ÷ $\sf{\dfrac{x}{16}\times 100}$

= $\sf{Profit\% = \dfrac{x}{80}\times \dfrac{16}{x}\times100}$

= $\sf{Profit\% = \dfrac{\cancel{x}}{\cancel{80}}\times \dfrac{\cancel{16}}{\cancel{x}}\times 100}$

= $\sf{Profit\% = \dfrac{1}{5}\times100}$

= $\sf{Profit\% = 20\%}$

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$\sf{\star}$ Important notes:-

Important notes:-When SP > CP there is a profit.

When CP > SP there is a loss.

Loss = CP - SP

Profit = SP - CP

$\sf{Loss\% = \dfrac{Loss}{CP}\times100}$

$\sf{Profit\% = \dfrac{Profit}{CP}\times 100}$

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$\textbf{\huge{be brainly}}$