# By selling a pen for Rs. 165, mukti gains 10%. If she had sold it for Rs. 157.50, what percentage would she have lost or gained?

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by charlotteds9

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by charlotteds9

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x+10%x=165

x+1/10x = 165

11/10x=165

x=165(10/11)

x=15(10)

x=150

let the percentage be y

y% of 150 + 150 = 157.50

y%150=7.50

y=7.50(100/150)

y=7.50(2/3)

y=2.5*2

y=5

therefore the percentage of gain after selling pen at 157.50 is 5%

ANS=> 5%

hope this helps you

Reguards

Vishwas Choudhary

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Let the cost price of pen = x

for selling at Rs. 165, profit = 10%

So x+10% of x = 165

⇒x + 10x/100 = 165

⇒x + 0.1x = 165

⇒1.1x = 165

⇒x = 165/1.1 = Rs. 150

now if he sells at Rs. 157.50

profit = 157.5-150 = Rs. 7.5

in percentage = (7.5/150)×100 = 5%

She would**gain 5%** by selling it for Rs. 157.50.

for selling at Rs. 165, profit = 10%

So x+10% of x = 165

⇒x + 10x/100 = 165

⇒x + 0.1x = 165

⇒1.1x = 165

⇒x = 165/1.1 = Rs. 150

now if he sells at Rs. 157.50

profit = 157.5-150 = Rs. 7.5

in percentage = (7.5/150)×100 = 5%

She would