## Percentages

Quantitative aptitude questions are asked in many competitive exams and placement exam. ' Percentage ' is a category in Quantitative Aptitude. Quantitative aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT), MAT, GMAT, IBPS Exam, CSAT, CLAT, Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense Competitive Exams, L.I.C/ G. I.C Competitive Exams, Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test (IT Companies) and etc., Government Exams etc.

We have a large database of problems on " Percentage " answered with explanation. These will help students who are preparing for all types of competitive examinations

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 :

 A) 2500 B) 2700 C) 2900 D) 3100

Explanation:

Total number of votes = 7500

Given that 20% of Percentage votes were invalid

Total valid votes = $\inline \fn_jvn 7500\times \frac{80}{100}$

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 $\inline \fn_jvn \frac{45}{100}$

$\inline \fn_jvn =7500\times \frac{80}{100}\times \frac{45}{100}=2700$

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

105

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

 A) 20 B) 30 C) 40 D) 50

Explanation:

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

$\inline \fn_cm \therefore$(32/100) * 100 = (80/100 )* y

we get, y = 40 kg

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

133

If 20% of a = b, then b% of 20 is the same as :

 A) 4% of a B) 6% of a C) 8% of a D) 10% of a

Explanation:

20% of a = b  $\inline \fn_jvn \Rightarrow$ $\inline \fn_jvn \frac{20}{100}a=b$

b% of 20 =$\inline \fn_jvn \frac{b}{100} \times 20$ = $\inline \fn_jvn \frac{20a}{100} \times \frac{1}{100}\times 20$=$\inline \fn_jvn \frac{4a}{100}$ = 4% of a.

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

57

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :

 A) 10000 B) 12000 C) 14000 D) 16000

Explanation:

$\inline \fn_jvn Purchase\; Price = Rs\left [ \frac{8748}{(1-\frac{10}{100})^3} \right ]=Rs. [8748\times \frac{10}{9}\times \frac{10}{9}\times \frac{10}{9}]$

= Rs.12000

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

64

A student multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation ?

 A) 54 % B) 64 % C) 74 % D) 84 %

Explanation:

Let the number be x.

Then, ideally he should have multiplied by  x by 5/3. Hence Correct result was $\inline x\times \frac{5}{3}=\frac{5x}{3}$.

By mistake he multiplied x by 3/5 . Hence the result with error  = $\inline \frac{3x}{5}$

Then, error = $\inline \frac{5x}{3}-\frac{3x}{5}=\frac{16x}{15}$

Error %  = $\inline \frac{Error}{True\: value}\times 100 = \frac{\frac{16}{15}x}{\frac{5}{3}x}\times 100$ = 64 %