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A fruit seller buys 300 oranges at 5 for...

A fruit seller buys 300 oranges at 5 for Rs. 8 and sells at 2 for Rs. 5. Find.
(i) the cost price of each organge.
(ii) the selling price of each orange.
(iii) profit or loss on selling one orange.
(iv) his total profit or loss an selling all the oranges.

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The correct Answer is:
Let's solve the problem step by step. ### Step 1: Find the Cost Price of Each Orange The fruit seller buys 5 oranges for Rs. 8. To find the cost price of 1 orange: \[ \text{Cost Price of 1 Orange} = \frac{\text{Total Cost for 5 Oranges}}{\text{Number of Oranges}} = \frac{8}{5} = 1.6 \text{ Rs.} \] ### Step 2: Find the Total Cost Price for 300 Oranges Now, we need to find the total cost price for 300 oranges: \[ \text{Total Cost Price} = \text{Cost Price of 1 Orange} \times \text{Number of Oranges} = 1.6 \times 300 = 480 \text{ Rs.} \] ### Step 3: Find the Selling Price of Each Orange The fruit seller sells 2 oranges for Rs. 5. To find the selling price of 1 orange: \[ \text{Selling Price of 1 Orange} = \frac{\text{Total Selling Price for 2 Oranges}}{\text{Number of Oranges}} = \frac{5}{2} = 2.5 \text{ Rs.} \] ### Step 4: Find the Total Selling Price for 300 Oranges Now, we need to find the total selling price for 300 oranges: \[ \text{Total Selling Price} = \text{Selling Price of 1 Orange} \times \text{Number of Oranges} = 2.5 \times 300 = 750 \text{ Rs.} \] ### Step 5: Calculate Profit or Loss on Selling One Orange Now we find the profit or loss on selling one orange: \[ \text{Profit or Loss} = \text{Selling Price of 1 Orange} - \text{Cost Price of 1 Orange} = 2.5 - 1.6 = 0.9 \text{ Rs.} \] Since the selling price is greater than the cost price, this is a profit. ### Step 6: Calculate Total Profit or Loss on Selling All Oranges Finally, we calculate the total profit or loss on selling all 300 oranges: \[ \text{Total Profit} = \text{Total Selling Price} - \text{Total Cost Price} = 750 - 480 = 270 \text{ Rs.} \] ### Summary of Results (i) Cost Price of each orange: **1.6 Rs.** (ii) Selling Price of each orange: **2.5 Rs.** (iii) Profit on selling one orange: **0.9 Rs.** (iv) Total profit on selling all oranges: **270 Rs.**
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