Question

By selling 100 mangoes a shopkeeper gain sp of 20 mangoes. Find gain %

Answer 1

Answer:

The gain % is 25%.

Step-by-step explanation:

it is given that by selling 100 mangoes a shopkeeper gain sp of 20 mangoes.

It means profit of 100 mangoes is equal to selling price of 20 mangoes.

$P\times 100=SP\times 20$

$\frac{P}{SP}=\frac{20}{100}$

$\frac{P}{SP}=\frac{1}{5}$

It means the ratio of profit and selling price is 1:5.

Let the profit be x and SP be 5x.

$CP=SP-profit=5x-x=4x$

The cost price is 4x.

Profit percentage is

$P=\frac{SP-CP}{CP}\times 100$

$P=\frac{5x-4x}{4x}\times 100$

$P=\frac{x}{4x}\times 100$

$P=\frac{1}{4}\times 100=25\%$

Therefore the gain % is 25%.