Final answer:
To make a profit equal to the selling price of 7 kg of apples, Akhil must charge approximately Rs. 284 per kilogram of apples, based on buying 13 kg of apples for Rs. 2,400.
Step-by-step explanation:
The question requires us to calculate the selling price per kilogram of apples that Akhil must charge to gain a profit equal to the selling price of 7 kg of apples.
First, we find the cost per kilogram by dividing the total cost by the quantity. Akhil bought 13 kg of apples for Rs. 2,400, so:
Cost per kg = Total cost / Quantity = Rs. 2,400 / 13 kg = Rs. 184.6153846 per kg (approx).
Since the profit equals the selling price of 7 kg, we calculate this profit:
Profit = Cost per kg × 7 kg = Rs. 184.6153846 × 7 = Rs. 1,292.3076922 (approx).
To find the selling price of all 13 kg including profit, add the profit to the total cost:
Total selling price = Total cost + Profit = Rs. 2,400 + Rs. 1,292.3076922 = Rs. 3,692.3076922 (approx).
Finally, to find the selling price per kilogram, divide the total selling price by the quantity:
Selling price per kg = Total selling price / Quantity = Rs. 3,692.3076922 / 13 kg = Rs. 284 (rounded to nearest whole number).
Therefore, Akhil must charge approximately Rs. 284 per kilogram of apples to make his desired profit.