Question

shopkeeper purchases the goods of Rs 2000 at 20% discount.if he sold at Rs 600 less than its marked price.Find its profit or loss percentage.​

Answer 1

The profit percentage is 5% .

Explanation:

Given:

Shopkeeper purchases the goods of Rs 2000 at 20% discount. he sold at Rs 600 less than its marked price.

Now, to find the profit or loss percentage, we need to get the marked price first.

Let the marked price be
`x`.

According to question:

Marked price - 20% of marked price = 2000

`x-(20)/(100)* x = 2000`

`x-0.20* x = 2000`

`x-0.20x= 2000`

`0.80x = 2000`

Dividing both sides by 0.80 we get:

`x= 2500`

So, the marked price = Rs 2500.

Now, for getting the profit percentage we need to calculate the profit price and then get the percentage.

Profit = price in which goods purchased - price in which it is sold

As it is given that shopkeeper sold at Rs 600 less than its marked price.

Profit = 2000 - (2500-600)

Profit = 2000 - 1900

Profit = Rs 100

Now, for the profit percentage:

Profit percentage =
`(profit)/(purchased\ price) * 100`

=
`(100)/(2000) * 100`

=
`0.05 * 100`

=
`5`

Profit percentage = 5%

Therefore, the profit percentage is 5% .