If profit as a percentage of the selling price is 18%, then what is the profit as a percentage of the cost price?21%21.95%22%22.5%
Question
If profit as a percentage of the selling price is 18%, then what is the profit as a percentage of the cost price?
- 21%
- 21.95%
- 22%
- 22.5%
Solution
Let's solve this step by step:
-
We know that Profit = Selling Price - Cost Price.
-
Given that Profit is 18% of the Selling Price, we can write this as: Profit = 18/100 * Selling Price.
-
We need to find the Profit as a percentage of the Cost Price. Let's express the Cost Price in terms of Selling Price using the first equation: Cost Price = Selling Price - Profit.
-
Substituting the second equation into this, we get: Cost Price = Selling Price - (18/100 * Selling Price) = 82/100 * Selling Price.
-
Therefore, Profit as a percentage of Cost Price = (Profit / Cost Price) * 100 = [(18/100 * Selling Price) / (82/100 * Selling Price)] * 100.
-
Simplifying this, we get Profit as a percentage of Cost Price = 18/82 * 100 = 21.95%.
So, the profit as a percentage of the cost price is 21.95%.
Similar Questions
1. If the cost price is 95% of the selling price, what is the profit percent ?4% 4.75% 5% 5.26%
The marked price of an article is 45% more than its cost price. If a discount of 20% is given, then what is the profit percentage?
The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent?.
The selling price of 30 items is equal to the purchasing price of 25 items. What is the profit percent? 25% 20% 16.67% 20.33%
e correct answerThe cost of 25 items is the same as the revenue by selling X items. Find X, if the profit made in the transaction is 25%?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.