Question

Of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.anple 4:​

Answer 1

Question

If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.

Answer:

gain percent = 25%

Step-by-step explanation:

To solve the question given, we will follow the steps below:

gain%  =   $\frac{s.p - c.p}{c.p}$  ×    100%

But from the question;

"CP of 15 articles equals to the SP of 12 articles", this implies that

15 c.p  =  12 s.p

s.p = 15c.p  /   12

s.p  = $\frac{15 c.p}{12}$       =   $\frac{5c.p}{4}$

s.p  =  $\frac{5c.p}{4}$

substitute  s.p  =  $\frac{5c.p}{4}$   into the formula

gain%  =   $\frac{s.p - c.p}{c.p}$  ×    100%

      =$\frac{\frac{5c.p}{4} - c.p }{c.p}$     ×    100%

       =  $\frac{\frac{5c.p - 4c.p}{4} }{c.p}$      ×    100%

  =   $\frac{c.p}{4}$   ÷   c.p      ×    100%

= $\frac{c.p}{4}$     ×   $\frac{1}{c.p}$    ×    100%

=   $\frac{1}{4}$  ×    100%

=  25 %