Calculate the Cost of Ghee Based on Weight

This problem asks us to find the cost of a specific quantity of ghee, given the cost of a different quantity of the same ghee. This is a classic example of a problem that can be solved using the unitary method or the concept of direct proportion. Since the cost of the ghee is directly proportional to its weight, if we find the cost of 1 kg of ghee, we can easily calculate the cost of any other weight.

Understanding the Ghee Pricing Problem

We are given:

• Total weight of ghee: 24.2 kg
• Total cost for 24.2 kg: Rs. 12525.92

We need to find:

• Cost for 8.5 kg of the same ghee

Assuming the price per kilogram is constant, we first need to determine the price for a single kilogram of ghee.

Step-by-Step Solution to Find Ghee Cost

Here's how we can solve this problem step-by-step:

Step 1: Find the cost of 1 kg of ghee.

To find the cost of 1 kg of ghee, we divide the total cost by the total weight.

Cost of 1 kg ghee $= \frac{\text{Total Cost}}{\text{Total Weight}}$

Cost of 1 kg ghee $= \frac{12525.92}{24.2}$ Rs./kg

Let's perform the division:

$\frac{12525.92}{24.2} = \frac{125259.2}{242}$

Performing the division:

125259.2 ÷ 242 = 517.6

So, the cost of 1 kg of ghee is Rs. 517.60.

Step 2: Calculate the cost of 8.5 kg of ghee.

Now that we know the cost of 1 kg, we can find the cost of 8.5 kg by multiplying the cost per kg by the required weight.

Cost of 8.5 kg ghee $=$ Cost of 1 kg ghee $\times$ Required Weight

Cost of 8.5 kg ghee $= 517.60 \times 8.5$ Rs.

Let's perform the multiplication:

517.60 x 8.5

517.6 x 8.5 ----- 2588.0 (517.6 x 5) 41408.0 (517.6 x 80) ----- 4399.60

So, the cost of 8.5 kg of ghee is Rs. 4399.60.

Therefore, 8.5 kg of the same ghee would cost Rs. 4399.60.

Revision Table: Key Concepts

Additional Information on Pricing Problems

Problems involving cost and quantity often rely on the assumption of a constant unit price. This is common in many basic mathematical problems. However, in real-world scenarios, bulk purchases might sometimes offer a lower price per unit (a discount), or other factors like taxes or shipping might influence the final cost. For this type of question, always assume a constant unit price unless otherwise stated.

Other types of related problems might involve:

• Inverse proportion (e.g., more workers mean less time to complete a task).
• Calculating percentage increase or decrease in price.
• Finding profit or loss based on cost price and selling price.

Understanding the relationship between quantities is crucial for solving such quantitative aptitude problems.