fruit seller earns a profit of 25% by selling a basket containing 100 oranges whose cost is rs 300 but he gives 1/5 th of it to his brother at cost price and sells the remaining oranges.inorder to earn same profit, at what price must he sell each orange?
Cost = $300/100 = $3.00/Orange.
100-100/5 = 100 - 20 = 80 Oranges sold at a profit.
20*$3/Orange + 80*$X/Orange = 1.25*$300.
60 + 80x = 375.
X = $3.94 each.
To find the selling price per orange, we need to calculate the total cost and the desired profit.
Given:
- Cost of 100 oranges = Rs 300
- Profit percentage = 25%
Step 1: Calculate the cost of each orange
The cost of each orange can be calculated by dividing the total cost by the number of oranges.
Cost per orange = Total cost / Number of oranges
Cost per orange = Rs 300 / 100 oranges
Cost per orange = Rs 3
Step 2: Calculate the desired profit
Profit percentage is given as 25%. To find the desired profit, we need to calculate 25% of the cost per orange and multiply it by the number of oranges sold.
Desired Profit = (Profit Percentage / 100) * (Cost per orange * Number of oranges sold)
Desired Profit = (25 / 100) * (Rs 3 * 80 oranges)
Desired Profit = 0.25 * (Rs 3 * 80)
Desired Profit = Rs 0.25 * Rs 240
Desired Profit = Rs 60
Step 3: Calculate the selling price per orange
To earn the desired profit, the fruit seller needs to add the cost per orange and the desired profit.
Selling price per orange = Cost per orange + Desired profit
Selling price per orange = Rs 3 + Rs 60
Selling price per orange = Rs 63
Therefore, the fruit seller must sell each orange at a price of Rs 63 in order to earn the same profit.
To solve this problem, we need to understand the given information and determine the profit earned by the fruit seller after selling the remaining oranges.
Given:
- The fruit seller earns a profit of 25%.
- The cost of the basket containing 100 oranges is Rs 300.
- The fruit seller gives 1/5 (20 oranges) of the basket to his brother at the cost price.
First, let's calculate the cost price of each orange:
The cost of the basket is Rs 300, and it contains 100 oranges. Therefore, the cost price per orange can be calculated as:
Cost price per orange = Cost of the basket / Number of oranges
Cost price per orange = Rs 300 / 100
Cost price per orange = Rs 3
Now, let's calculate the profit earned by the fruit seller:
Profit percentage = 25%
Profit = (Profit percentage / 100) * Cost price
Profit = (25 / 100) * Rs 3
Profit = Rs 0.75
Since the fruit seller gives 20 oranges to his brother at the cost price, the remaining oranges he sells are 100 - 20 = 80 oranges.
To earn the same profit percentage on the remaining oranges, let's calculate the selling price per orange:
Selling price = Cost price + Profit
Selling price per orange = Rs 3 + Rs 0.75
Selling price per orange = Rs 3.75
Therefore, the fruit seller must sell each orange at Rs 3.75 to earn the same profit percentage.