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Understanding Direct Proportion: A Detailed Guide with Practical Example

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Understanding Direct Proportion: A Detailed Guide with Practical Example

Understanding Direct Proportion: Example and Calculation of Constant K

In our everyday life, we often come across situations where two variables are related to each other. Today, we’ll discuss one such relationship—direct proportion. In this blog, we’ll learn how to determine if two variables are in direct proportion, using the example of sugar pricing.

Example of Direct Proportion:

Let’s take the example of buying sugar. Suppose the price of 1 kg of sugar is ₹20. If we buy more, the price increases proportionally:

  • 1 kg sugar = ₹20
  • 2 kg sugar = ₹40
  • 3 kg sugar = ₹60
  • 4 kg sugar = ₹80

Here, the quantity of sugar (Q) and the price (P) move together. When the quantity increases, the price increases proportionally. Similarly, when the quantity decreases, the price decreases. This relationship is what we call direct proportion or direct variation.

Mathematical Proof:

In a direct proportion, if you divide one variable by another, the result will be constant. Let’s verify this with our sugar example:

  • 1/20 = 0.05
  • 2/40 = 0.05
  • 3/60 = 0.05
  • 4/80 = 0.05

As you can see, the result of dividing Q by P is always 0.05. This constant value is denoted by the letter K. Thus, in direct proportion, the formula is:
K = Q/P

Key Takeaway:

  • D for Direct, D for Divide: In any direct proportion, dividing one variable by the other will always give you a constant.

Now that you understand the concept, watch our video to see the explanation in action! Subscribe to our YouTube channel to stay updated with more academic learning content.

 

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