Respuesta :
Answer:
The profit percentage is 5% .
Step-by-step 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 [tex]x[/tex].
According to question:
Marked price - 20% of marked price = 2000
[tex]x-\frac{20}{100}\times x = 2000[/tex]
[tex]x-0.20\times x = 2000[/tex]
[tex]x-0.20x= 2000[/tex]
[tex]0.80x = 2000[/tex]
Dividing both sides by 0.80 we get:
[tex] x= 2500[/tex]
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 = [tex]\frac{profit}{purchased\ price} \times 100[/tex]
= [tex]\frac{100}{2000} \times 100[/tex]
= [tex]0.05 \times 100[/tex]
= [tex]5[/tex]
Profit percentage = 5%
Therefore, the profit percentage is 5% .
