Question

If cost price of 15 pens is equal to selling price of 12 pens then gain percent is

Answer 1

Answer:

Gain percent = 25%

Step-by-step explanation:

Given :

Cost price of 15 pens = Selling price of 12 pens

To find :

The gain percent

Taken :

To find the gain percent use this formula -:

$\boxed{\sf{G\%=\dfrac{C.P.-S.P.}{S.P.}\times100\%}}$

Where,

G% = Gain percent

P = Profit

C.P. = Cost price

S.P. = Selling price

Solution :

$\leadsto\sf{G\%=\dfrac{15-12}{12}\times100\%}$

$\leadsto\sf{G\%=\dfrac{3}{12}\times100\%}$

$\leadsto\sf{G\%=\dfrac{1}{2}\times50\%}$

$\leadsto\sf{G\%=25\%}$

So , the gain percent is 25% .

Answer 2

let the CP of 1 pen=x rupees

the CP of 15 pen=15x rupees

SP of 12 pens=15x

SP of 1 pen=15x/12

• Gain=SP-CP=15x/12+x=3x/12
• Gain%=Gain×100/CP
• =3x/12×100/x
• =75/3
• =25%

therefore gain%=25%