Question

If cost price of 25 pens is equal to sale price of 20 pens, profit percent will be

Answer 1

■HEY DEAR...

LET THE CP OF each pen be ₹ 1.

then, CP of 20 pens = ₹20
and CP of 25 pens= ₹25= SP of 20 pen..

•°•SP of 20 pen = 25..
since SP of 20 pen > CP of 20 pens, there is a gain...

GAIN= ₹(25-20)= ₹5

GAIN%= (gain / cp × 100)% = 5/20×100=25%....

SO, THE PROFIT PERCENT OF THE PENS IS 25..

■HOPE ITS HELPFULL.

◆◇be brainly◆◇◆

Answer 2

$\underline{\underline{\bold{Question:}}}$

If cost price of 25 pens is equal to selling price of 20 pens , then profit percent will be :

$\underline{\bold{Solution:}}$

Let the cost price of 25 pens be Rs. x.

Cost price of 1 pen:

$\bold{=Rs.\:\dfrac{x}{25}.}$

So

According to question ,

The selling price of 20 pens = Cost price of 25 pens = Rs. x.

Selling price of 1 pen:

$\bold{=Rs.\:\dfrac{x}{20}.}$

Here

Selling price is greater that cost price.

$\boxed{\bold{Profit=Selling\;price\:-\:Cost\:price}}$

$\implies{\bold{Profit=\dfrac{x}{20}-\dfrac{x}{25}}}\\\\\\\implies{\bold{Profit=\dfrac{5x-4x}{100}}}\\\\\\\implies{\bold{Profit=\dfrac{x}{100.}}}\\\\\\\boxed{\bold{Profit\%=\dfrac{Profit}{Cost\:price}{\times}100\:\%}}\\\\\\\implies{\bold{Profit\%=\dfrac{\dfrac{x}{100}}{\dfrac{x}{25}}{\times}100=25\%.}}\\\\\\\boxed{\boxed{\bold{Profit\%=25\%.}}}$