The cost price of an article is 4/5 times of its selling price find the loss or gain as percent

Let the cost price (C.P.) of the article be $ C $ and the selling price (S.P.) be $ S $.

Given:
\[ C = \frac{4}{5} \times S \]

### Step 1: Expressing the relation between C.P. and S.P.
This means the cost price is $ 4/5 $ of the selling price.

Now, rearrange to express $ S $ in terms of $ C $:
\[
S = \frac{5}{4} \times C
\]
Thus, the selling price is greater than the cost price, indicating a **profit**.

### Step 2: Calculating the profit percentage
The profit is the difference between the selling price and the cost price:
\[
\text{Profit} = S - C = \frac{5}{4}C - C = \frac{1}{4}C
\]
The profit percentage is given by:
\[
\text{Profit \%} = \frac{\text{Profit}}{C} \times 100 = \frac{\frac{1}{4}C}{C} \times 100 = 25\%
\]

### Conclusion:
There is a **25% profit**.

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. If the cost price is $80, what is the selling price?
2. What would the loss percent be if the selling price was instead 3/4 of the cost price?
3. How do you calculate loss or gain when both the cost price and selling price are given?
4. If the profit is 40%, what will the cost price be in terms of the selling price?
5. Can you have both a loss and gain on the same article?

**Tip:** Always express cost and selling prices as fractions or percentages for easier profit/loss calculations.

The cost price of an article is 4/5 times of its selling price. Find the loss or gain as a percent.

Learn how to calculate the profit when the cost price is 4/5 times the selling price. This problem involves understanding the relationship between cost price and selling price using key concepts of profit and percentages. Suitable for students in Grades 6-8.

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