Percentage Question & Answers


Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

A) 10B) 15
C) 20D) 25
Answer:   A) 10

Explanation:

20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability
Exam Prep: GRE

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If the length of a rectangle is increased by 10% and the area is unchanged , then its corresponding breadth must be decreased by?

Answer

Suppose length = 100m and breadth = x m


Area = 100 m


New length = 110m and breadth = (x-y% of x)


Then, \inline 110\times (x-\frac{y}{100}x)=100\times x


\inline \Rightarrow \inline 110\times (1-\frac{y}{100})=100


\inline \Rightarrow \inline 1-\frac{y}{100}=\frac{100}{110}


\inline \Rightarrow \frac{y}{100}=1-\frac{100}{110}=\frac{1}{11}


\inline y=\frac{100}{11}=9\frac{1}{10}%

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The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?

Answer

10 - 10 - \inline \frac{10\times 10}{100}= -1% %


\inline \therefore Decrease in revenue = 1%

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From a salary of an officer, 10% is deducted as house rent, 15% of the rest he spend on children's education and 10% of the balance he spends on clothes. Then, he is left with Rs. 4131. Find his total salary?

Answer

Suppose his total salary be Rs.x, then 


90% of 85% of 90% of x = 4131


\inline \Rightarrow \frac{90}{100}\times \frac{85}{100}\times \frac{90}{100}\times x=4131


\inline \therefore x=\frac{4131\times 100\times 100\times 100}{90\times 85\times 90}=6000


Hence , the salary of the officer is Rs.6000

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In an election, there were two candidates only. The candidate who got 62% of the total votes polled and was elected by a majority of 192 votes. The total number of votes polled was?

Answer

Suppose total votes polled is x


\inline \Rightarrow \inline \frac{62x}{100}=\frac{38x}{100}+192


\inline \Rightarrow \frac{62x}{100}-\frac{38x}{100}=192


\inline \Rightarrow \frac{24x}{100}=192\Rightarrow x=800

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After spending 40% machinery, 25% in building , 15% in raw material and 5% on furniture . Harilal had a balance of Rs.1305. Total money with him was?

Answer

[100 - (40+25+5+15)] % of x = 1305


\inline \Rightarrow 15% of x =1305


\inline \Rightarrow \frac{15}{100}\times x=1305


\inline \therefore x=\frac{1305\times 100}{15}=8700

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