Question

A trader bought 40 kg of wheat at Rs 25 per kg and 30 kg at Rs 35 per kg. He mixed them and sold the mixture at Rs 32 per kg. Find his net gain or loss.

• A. Profit of ₹180
• B. Loss of ₹190
• C. Profit of ₹190
• D. Loss of ₹180

Answer 1

Answer:

C. Profit of ₹190

To find the net gain or loss, let's calculate the total cost price and total selling price of the wheat.

Step-by-Step Calculation:

1. Calculate the cost of the first batch:

   
   

   • Quantity = $40\text{ kg}$

   • Rate = ₹$25$ per kg

   • $\text{Cost}_1 = 40 \times 25 =1,000$

2. Calculate the cost of the second batch:

   
   

   • Quantity = $30\text{ kg}$

   • Rate = ₹$35$ per kg

   • $\text{Cost}_2 = 30 \times 35 =1,050$

3. Find the total quantity and total Cost Price (CP):

   
   

   • Total Quantity = $40 + 30 = 70\text{ kg}$

   • $\text{Total CP} = 1,000 + 1,050 = 2,050$

4. Calculate the total Selling Price (SP):

   
   

   • Selling Rate = ₹$32$ per kg for all $70\text{ kg}$

   • $\text{Total SP} = 70 \times 32 = 2,240$

5. Determine Gain or Loss:

   
   

   • Since Selling Price (2,240), is greater than the cost price (2,050) the trader made a gain.

   • $\text{Net Gain} = \text{Total SP} - \text{Total CP} = 2,240 - 2,050 = 190$

Answer:

The trader made a net gain of ₹190.