Question

A mixture of 12 kg of wheat flour costing Rs.16 per kg and 4 kg of corn flour costing Rs. 2 per kg is sold at Rs.16 per kg. What is the profit made in selling 40 kg of the mixture ?

• A. Rs.140
• B. Rs.280
• C. Rs.300
• D. Rs.420

Answer 1

The Correct Option is A

To determine the profit made in selling 40 kg of the mixture, we first calculate the cost price and selling price of the mixture.

Step 1: Calculate the Cost Price of the Mixture

We have two components in the mixture:

• 12 kg of wheat flour at Rs.16 per kg
• 4 kg of corn flour at Rs.2 per kg

Calculate the total cost for each component:

Cost of wheat flour = 12 kg × Rs.16/kg = Rs.192

Cost of corn flour = 4 kg × Rs.2/kg = Rs.8

Total cost of the mixture = Rs.192 + Rs.8 = Rs.200

Step 2: Determine the Selling Price of the Mixture

The mixture is sold at Rs.16 per kg.

Thus, for 16 kg of the mixture, Selling Price = 16 kg × Rs.16/kg = Rs.256

Step 3: Calculate the Profit

The profit is given by the difference between the selling price and the cost price.

Profit = Selling Price - Cost Price = Rs.256 - Rs.200 = Rs.56 for 16 kg

Since the mixture proportion and profit ratio remains constant, to find the profit on 40 kg, we scale it proportionally.

For 40 kg, Profit = \(\frac{40}{16} \times Rs.56\)

Profit = 2.5 × Rs.56 = Rs.140

Thus, the profit made in selling 40 kg of the mixture is Rs.140.