Question

(a) Usha bought 3 quintals of guavas at Rs.63 per kg (1 quintal = 100 kg). She found that 20 kg of guavas were rotten. If she wanted to make a profit of Rs.5320 on the whole lot, at what rate per kg should she sell the guavas?​

Answer 1

To achieve a profit of Rs.5320 on 280 kg of guavas, after accounting for 20 kg of waste, Usha needs to sell the remaining guavas at Rs.86.50 per kg.

Step-by-step explanation:

The student's question relates to a real-world profit calculation problem. Usha bought 3 quintals of guavas, and needs to determine the selling price per kilogram to achieve a specified profit margin, considering some of the guavas were rotten.

Calculating Cost and Desired Selling Price

First, calculate the total cost of the guavas Usha bought:

3 quintals = 3 × 100 kg

= 300 kg

Total cost = 300 kg × Rs.63 per kg

Total cost = Rs.18900

Next, subtract the weight of the rotten guavas:

• Total weight of good guavas = 300 kg - 20 kg
• Total weight = 280 kg

Now, add the desired profit to the total cost to find out the total selling price:

• Total selling price = Total cost + Desired profit
• Total selling price = Rs.18900 + Rs.5320
• Total selling price = Rs.24220

Finally, divide the total selling price by the total weight of good guavas to find the selling price per kilogram:

• Selling price per kg = Total selling price / Total weight of good guavas
• Selling price per kg = Rs.24220 / 280 kg
• Selling price per kg = Rs.86.50

Therefore, Usha should sell the guavas at Rs.86.50 per kg to achieve her desired profit of Rs.5320.