A shopkeeper gains the cost of 8 metres of th | vedclass

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(B) Let the cost price of $1$ metre of thread be $CP = \$1$.
Then, the cost price of $40$ metres of thread is $CP_{40} = \$40$.
The selling price of

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$20\%$

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(B) Let the cost price of $1$ metre of thread be $CP = \$1$.
Then, the cost price of $40$ metres of thread is $CP_{40} = \$40$.
The selling price of $40$ metres of thread is $SP_{40}$.
The gain is equal to the cost price of $8$ metres of thread, which is $\$8$.
We know that $	ext{Gain} = SP - CP$.
So, $8 = SP_{40} - 40$, which implies $SP_{40} = \$48$.
Gain percent is calculated as $\left( \frac{	ext{Gain}}{CP} ight) 	imes 100$.
$	ext{Gain } \% = \left( \frac{8}{40} ight) 	imes 100 = 20\%$.

$A$ shopkeeper gains the cost of $8$ metres of thread by selling $40$ metres of thread. Find his gain percent.

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