Calculating the Cost of 72 Grams of Sweet

When dealing with price per unit, it can sometimes lead to confusion if the weights are not consistent. For instance, if you know that 1 kg of sweet is priced at 300 Rs, how much would 72 grams cost? To solve this problem accurately, we need to understand the relationship between the mass and the corresponding cost.

Direct Calculation Using Simple Mathematics

First, let's convert 72 grams into kilograms, as the price is provided per kilogram. 72 grams is equal to 0.072 kg. Given that 1 kg costs 300 Rs, we can calculate the cost of 0.072 kg using simple multiplication:

0.072 kg x 300 Rs/kg 21.6 Rs

Using Proportional Calculation

An alternative method to verify the calculation is to use the concept of proportions. Let's consider the proportionate relationship:

We need to find the value of ( x ), the cost of 72 grams:

By solving for ( x ), we get:

x frac{72 x 300}{1000} > x 21.6 Rs

Commercial Considerations

However, in a commercial setting, the price of smaller units might not always follow a simple proportionate scaling. A seller might charge a slightly higher price for smaller units due to the effort and overhead involved in selling them. For example, a vendor could charge more than 21.6 Rs for 72 grams to cover these additional costs.

Nevertheless, the basic mathematical solution provides the lower price, which could be used as a baseline for negotiations or in a non-commercial setting. It's crucial to understand the commercial context to make informed decisions.

Assumptions and Errors in Calculation

Recently, there has been some confusion regarding the correct cost for 72 grams of sweet. Some have suggested that the answer could be other than 21.6 Rs. This discrepancy arises from certain assumptions or errors in the calculation process. Here are a few clarifications:

If you assume that 1 gram is worth 0.30 Rs (300 Rs divided by 1000), then 72 grams would cost 21.6 Rs. Sometime, a simple mistake in proportion calculation could lead to an incorrect value, such as 13.9 times instead of the correct value. In some cases, the cost per gram might be slightly higher, indicating that the actual price could be more than 21.6 Rs.

In summary, the correct mathematical answer is 21.6 Rs, but commercial factors can influence the actual price in a real-world setting.