Saturday, 1 October 2022

A direct proportion calculation

A direct proportion calculation

Now let us see a calculation related to ratio

If 12 candies cost is Rs.30. What is the cost of 48 candies?

How do you answer this question?

You mean you can find the cost of 1 candy divided by the cost of 12 candies and multiply that to get the cost of 48 candies?

But look, the answer is much easier if we use direct proportion here!

What do you mean by proportionality?

As the number of candies increases, so does its price! So is it direct proportional?

Isn't the ratio system for direct ratio fractional? That is, quantity / price will be up to this calculation.

Accordingly, the price of 12 candies is Rs.30. Shouldn't be set to 12 / 30!

Next we need to see the price of 48 candies. If its price is taken as x, then the ratio should be taken as 48 / x!

Equalize the two ratios and cross multiply. Here we go.

12 / 30 = 48 / x

12x = 30 × 48

12x = 1440

x = 1440 / 12

x = 120

So the cost of 48 candies is Rs. 120.

Did you see how we found out? Get used to many more such calculations and you will be able to answer them in a few seconds.

Next you are asked to show me a calculation of the inverse proportion. Let's do and show you what it is.

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