By selling an article of Rs 240,a man makes a profit of 20%. What is h...
Given information:- Selling price of the article = Rs 240
- Profit percentage = 20%
To find:- Cost price (C.P) of the article
Calculating C.P:
Since we know that the profit percentage is 20%, we can use the formula:
Profit = (Profit percentage/100) * C.P
We are given that the selling price is Rs 240 and the profit percentage is 20%. Let's substitute the values into the formula:
Profit = (20/100) * C.P
Profit = 0.2 * C.P
We also know that the selling price is the sum of the cost price and the profit:
Selling price = C.P + Profit
240 = C.P + 0.2 * C.P
240 = 1.2 * C.P
To find the cost price (C.P), we can divide both sides of the equation by 1.2:
C.P = 240/1.2
C.P = 200
Therefore, the cost price of the article is Rs 200.
Calculating profit percentage for selling price of Rs 275:
To calculate the profit percentage for a selling price of Rs 275, we can use the formula:
Profit = Selling price - C.P
We know that the selling price is Rs 275 and the cost price is Rs 200. Let's substitute the values into the formula:
Profit = 275 - 200
Profit = 75
Now, we can calculate the profit percentage using the formula:
Profit percentage = (Profit/C.P) * 100
Profit percentage = (75/200) * 100
Profit percentage = 37.5%
Therefore, if the article is sold for Rs 275, the profit percentage would be 37.5%.