Sunday 2 October 2022

Direct Proportion is used to find percentages

Direct Proportion is used to find percentages

Do you know what percentage is? A percentage is a value according to hundred as a base of any value.

Cent means hundred. The per indicates rate how much each receive. So a percentage is a value that calculates how much each of the hundred is.

For example Let’s say you buy a bicycle for Rs. 2500. Let's say you sell for Rs. 3000. Now your profit is Rs. 500 or not!

If this profit raises the question, how much profit would you have made if you had bought that bicycle for 100?

100 is easy to calculate. Percent is used in Mathematics and practical life on the basis that we can convert any number into its multiples, so if we calculate how much per hundred, we can do the calculations easily.

Now let us come to the above calculation. Rs. 500 is profit for Rs. 2500. What to do if you want to know how much profit is for 100? Do you understand?

It can be easily found with direct proportion!

If we are going from 2500 to 500 which means we are going to decrease then from 100 we need to find the x value of hundred which is less.

So here rupee will decrease the percentage will also decrease. So you will have no doubt that it is a direct proportion.

So let's set up a table like rupees / percent!

Rupees

2500

500

Percentage

100

x

 

Now since this ratio is a direct ratio, we need to divide the ratios into fractions and equate them. Accordingly,

2500 / 500 = 100 / x

2500x = 500 ×100

2500x = 50000

x = 50000 / 2500

Does x = 20? This is the profit per hundred. This is what we call a percentage. That is 20%.

If each hundred makes a profit of 20 rupees, the 25 hundreds of 2500 will get a profit of 20 rupees at the rate of 25 × 20 = 500 profit?

Aha! How easy are they to find? If you use direct proportion in percentage calculations like this, you can find the answer very easily. Now if you mean percentage calculations, are those direct proportional calculations? or inverse proportion calculations? You don't even have to think about that. You can answer the questions very easily by doing the calculations blindly and deciding that they are direct proportion calculations.

Next, let's see how percentages are used in the calculations related to the purchase price and sale price.

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