If oranges are bought at the rate of 25 for a rupee, how many must be sold for a rupee so as to gain 25%?



To solve this problem, we need to determine the selling price per orange to achieve a 25% profit.

### Step 1: Determine the cost price per orange.
Since 25 oranges are bought for 1 rupee, the cost price per orange is:
\[
\text{Cost price per orange} = \frac{1 \text{ rupee}}{25 \text{ oranges}} = \frac{1}{25} \text{ rupee per orange}
\]

### Step 2: Determine the selling price per orange to gain 25% profit.
To gain a 25% profit, the selling price per orange should be 125% of the cost price:
\[
\text{Selling price per orange} = \text{Cost price per orange} \times 1.25 = \frac{1}{25} \times 1.25 = \frac{1.25}{25} = \frac{5}{100} = \frac{1}{20} \text{ rupee per orange}
\]

### Step 3: Calculate the number of oranges that must be sold for 1 rupee.
To find how many oranges must be sold for 1 rupee at the selling price of \(\frac{1}{20}\) rupee per orange:
\[
\text{Number of oranges} = \frac{1 \text{ rupee}}{\frac{1}{20} \text{ rupee per orange}} = 20 \text{ oranges}
\]

### Final Answer:
You must sell **20 oranges** for 1 rupee to gain a 25% profit.

Would you like more details, or do you have any questions about this? Here are some related questions you might find useful:

1. How would the calculation change if the desired profit were 50% instead of 25%?
2. What would be the selling price per orange for a 10% gain?
3. How many oranges must be sold for 2 rupees to gain a 25% profit?
4. What is the formula for calculating the selling price to achieve a desired profit percentage?
5. How does the cost price affect the number of units sold for a given profit?

**Tip:** When calculating profit margins, always express the desired profit percentage as a decimal (e.g., 25% as 0.25) to simplify your calculations.

Learn how to calculate the number of oranges that must be sold for 1 rupee to gain a 25% profit. This problem involves basic arithmetic and profit calculation. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation