There is some profit when an article is sold for rupees 720 however wh...
Calculating Cost Price of an Article
Given Information:
- Selling price of an article = Rs.720
- Selling price of the same article = Rs.420
Calculations:
Let's assume the cost price of the article to be 'x'
When the article is sold for Rs.720, there is some profit. Let's calculate the profit percentage.
Profit = Selling price - Cost price
Profit = 720 - x
Profit percentage = (Profit / Cost price) x 100
Profit percentage = ((720 - x) / x) x 100
Now, when the same article is sold for Rs.420, there is some loss. Let's calculate the loss percentage.
Loss = Cost price - Selling price
Loss = x - 420
Loss percentage = (Loss / Cost price) x 100
Loss percentage = ((x - 420) / x) x 100
We know that profit percentage minus loss percentage gives us the net profit or loss percentage.
Net profit/loss percentage = Profit percentage - Loss percentage
If the net profit percentage is positive, then there is a profit. If it is negative, then there is a loss.
Solution:
After calculating the profit and loss percentages, we get:
((720 - x) / x) x 100 - ((x - 420) / x) x 100 = Net profit/loss percentage
Simplifying this equation, we get:
300x = 30000
x = 100
Therefore, the cost price of the article is Rs.100.