A fruit seller loses 10 per cent by selling oranges at 26 for rupees 25 .How many oranges should he sell for rupees 5 to gain 17 per cent?
To solve this problem, we need to find the selling price of one orange. Then we can use that selling price to calculate how many oranges the fruit seller should sell for rupees 5 to make a 17% profit.
Let's break down the given information:
1. The fruit seller sells 26 oranges for rupees 25, which means the selling price of one orange is given by 25/26.
Now, we can calculate the selling price per orange:
Selling price per orange = 25/26 = 0.9615 rupees (approximately)
Next, we need to determine how many oranges the fruit seller should sell for rupees 5 to make a 17% profit.
To calculate the selling price of one orange for a 17% profit, we need to add 17% of the cost price to the cost price.
Let's assume the cost price of one orange is 'C' rupees.
The selling price of one orange for a 17% profit can be written as:
Selling price per orange = Cost price per orange + Profit per orange
Selling price per orange = C + (17/100) * C
Selling price per orange = C * (1 + 0.17)
Selling price per orange = 1.17C
Now, we can equate the selling price of one orange to 5 rupees and solve for C:
1.17C = 5
Divide both sides by 1.17:
C = 5 / 1.17
C ≈ 4.2735 (approximately)
So, the cost price of one orange is approximately 4.2735 rupees.
To find the number of oranges the fruit seller should sell for rupees 5, divide 5 (the given selling price) by the cost price of one orange:
Number of oranges = Selling price / Cost price per orange
Number of oranges = 5 / 4.2735
Number of oranges ≈ 1.17 (approximately)
Therefore, the fruit seller should sell approximately 1.17 oranges for rupees 5 to make a 17% profit.