Question

the cost price of 18 toys is equal to the selling price of 12 toys then what will the gain percent?

Answer 1

18cp=12sp
p%={(sp-cp)/cp}×100
={(18cp/12-cp)/cp}×100
=(18/12-1)×100........(cp common and cut it)
=50%

Answer 2

Answer:  The required gain percent is 50%.

Step-by-step explanation:  Let x represents the cost price of one toy and p% be the gain percentage.

We are to find the gain percent p%.

The cost of 18 toys will be 18x.

The selling price of one toy is given by

$S.P.=x+p\%\times x=x+\dfrac{px}{100}=\dfrac{100+p}{100}x.$

So, the selling price of 12 toys is

$S.P._{12}=\dfrac{100+p}{100}x\times12=\dfrac{3(100+p)}{25}x.$

According to the given information, we get

$18x=\dfrac{3(100+p)}{25}x\\\\\\\Rightarrow 6=\dfrac{100+p}{25}\\\\\Rightarrow 150=100+p\\\\\Rightarrow p=150-100\\\\\Rightarrow p=50.$

Thus, the required gain percent is 50%.