If the price of an article decreased by 25% then by what percent it's consumption should be increased or decreased so that expenditure increased by 20% .?

Question

Answer

Introduction:
In this problem, we need to find out by what percent the consumption of an article should be increased or decreased so that expenditure is increased by 20% after the price of the article decreased by 25%.

Given:
Price decreased by 25%
Expenditure increased by 20%

Solution:
Let's assume that the initial price of the article is P and the initial consumption is C. So, the initial expenditure can be calculated as E = P x C.

After the price decreased by 25%, the new price of the article will be (75/100)P. So, the new expenditure can be calculated as E' = (75/100)P x C.

Now, we need to find out by what percent the consumption should be increased or decreased so that E' is increased by 20%. Let's assume the new consumption is C'.

So, the new expenditure will be E' = (75/100)P x C'.

Now, we can write the equation:
E' = E' x (120/100)

Substituting the values of E' and E', we get:
(75/100)P x C' = (75/100)P x C x (120/100)

Simplifying the equation, we get:
C' = (4/3)C

So, the consumption should be increased by 33.33% (i.e., (4/3 - 1) x 100) to increase the expenditure by 20%.

Conclusion:
In conclusion, we can say that if the price of an article decreased by 25% then the consumption should be increased by 33.33% to increase the expenditure by 20%.

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