Question

if sp of 20 chairs is same as cp of 21 chairs. find the profit %.​

Answer 1

Answer:

let cp of 1 chair be x

the cp of 20 chair is 20x

and cp of 21 chair is 21x

a/q. sp of 20 chairs =cp of 21 chair

sp of 20 chairs =21x

so, gain , spis greater than cp

of 21x-20x=x

gain %=x/20x*100=5%

Answer 2

$\large\sf\underline{Given:}$

• SP of 20 chairs and CP of 21 chairs are same .

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$\large\sf\underline{To\:find:}$

• Profit percentage = ??

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$\large\sf\underline{Assumption:}$

• Let the CP be x .

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$\large\sf\underline{Solution:}$

As the CP of 1 chair is x .

So the cost price of 21 chair will be 21x

According to the question :

SP of 20 chairs = CP of 21 chairs

$\sf\:∴\:SP\:of\:20\:chairs=21x$

$\sf\:SP\:of\:1\:chair=\frac{21x}{20}$

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We know ,

$\large\rm\purple\star\:\underline{Profit=SP-CP}$

Substituting the value in the formula :

$\sf➞\:Profit=\frac{21x}{20}-x$

$\sf➞\:Profit=\frac{21x-20x}{20}$

$\sf➞\:Profit=\frac{x}{20}$

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And we also know ,

$\large\rm\purple\star\:\underline{Profit\: percentage=[\frac{Profit}{CP}]×100}$

Substituting the value in the formula :

$\sf➻\: Profit\: Percentage=\frac{ \frac{x}{20} }{x}×100$

$\sf➻\: Profit\: Percentage=\frac{x}{20}× \frac{1}{x} ×100$

$\sf➻\: Profit\: Percentage=\frac{1}{20} ×100$

$\sf➻\: Profit\: Percentage=\frac{100}{20}$

$\sf➻\: Profit\: Percentage=\frac{10}{2}$

$\small\fbox\red{➠\:Profit\: Percentage\:=\:5\:percent}$

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!! Hope it helps !!