Percentage Questions


 




In a class of 72 students, 87.5 % of the students cleared the CAT exam. How many did not clear it?

 

Numbers of students who did not clear the CAT exam = 12.5 * 72/100 = 9.

 

The tax on an article is increased by 20 %. As a result of which the consumption decreases by 25 %. What is the % change in the tax revenue received by the government from this article?

 

% Change in Tax revenue = 1.2 * 0.75 = 0.9

⇒ Net decrease of 10 %.

 

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :

 

Total number of votes = 7500 

Given that 20% of Percentage votes were invalid

 => Valid votes = 80%

 Total valid votes = 7500*(80/100) 

1st candidate got 55% of the total valid votes. 

Hence the 2nd candidate should have got 45% of the total valid votes 

=> Valid votes that 2nd candidate got = total valid votes x (45/100) 

7500*(80/100)*(45/100) = 2700

 

 

A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are

 

Given that the student got 125 marks and still he failed by 40 marks

=> The minimum pass mark = 125 + 40 = 165

Given that minimum pass mark = 33% of the total mark

=> total mark =33/100 =165

=> total mark = 16500/33 = 500

 

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

 

The fruit content in both the fresh fruit and dry fruit is the same.

Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg

Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.

Fruit % in freshfruit = Fruit% in dryfruit

Therefore, (32/100) x 100 = (80/100 ) x y

we get, y = 40 kg.

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