Question

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

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ple 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%

Explanation:

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

gain% =
`(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 =
`(15 c.p)/(12)` =
`(5c.p)/(4)`

s.p =
`(5c.p)/(4)`

substitute s.p =
`(5c.p)/(4)` into the formula

gain% =
`(s.p - c.p)/(c.p)` × 100%

=
`((5c.p)/(4) - c.p )/(c.p)` × 100%

=
`((5c.p - 4c.p)/(4) )/(c.p)` × 100%

=
`(c.p)/(4)` ÷ c.p × 100%

=
`(c.p)/(4)` ×
`(1)/(c.p)` × 100%

=
`(1)/(4)` × 100%

= 25 %