Quantitative Aptitude

Percentage

482 Questions

All Successive Percentage Changes 177 Population Growth and Depreciation 103 Fractional Base Multiplication 58 Reverse More-Than and Less-Than Comparisons 38 Income, Expenditure, and Savings 33 Price and Consumption 30 Election Votes and Margins 10 Fake Weight and Faulty Measures 10 Venn Diagram Percentages 9 Passing Marks Shifts 5 Fresh vs. Dry Mixture 2

Percentage Questions

Multiple choice

Due to poor economic conditions, a company had to lay off $20$% of its workforce. When the economy improved, it was able to restore the number of employees to its original number. By what percent was the depleted workforce increased in order to return to the original number of employees?

$20$
$25$
$80$
$120$
$125$

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Multiple choice

If the price of coal be raised by $20$% find by how much percent a housewife must reduce her consumption of that article so as not to increase her expenditure.

$40$%
$16\dfrac {2}{3}$%
$10$%
$33\dfrac {1}{3}$%

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Multiple choice

The population of a town is $1,76,000$. If it incerease at the rate of $5\%$ per annum, what will be it's population $2$ years hence.

$1,94,000$
$1,94,040$
$1,90,440$
$1,94,104$

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Multiple choice

There were $5400$ books in a library. The ratio of the number of fiction books to the number of classics to the number of biographics was $7\colon3\colon2$. When the library acquired an additional $432$ books, the number of biographies increased by $12\%$ and the number of classics increased by $10\%$. The percentage increase in the number of fiction books is

$\;8\%$
$\;4\%$
$\;6\%$
$\;9\%$

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Multiple choice

In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by $10$ percent every $20$ years. If the present population of the city is $50,000$, which of the following expressions represents the engineers estimate of the population of the city $t$ years from now?

$50,000(0.1)^{2t}$
$50,000(0.1)^{\tfrac {t}{2}}$
$50,000(0.9)^{2t}$
$50,000(0.9)^{\tfrac {t}{20}}$

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Multiple choice

A number increased by $20\%$, and the resulting number then decreased by $30\%$. By what overall percentage the original value increase or decrease?

It decreased by $21\%$
It decreased by $16\%$
It decreased by $10\%$
It decreased by $8\%$
It increased by $10\%$

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Multiple choice

The width of a square increases by $30\%$. By what percent does its area increase?

$30\%$
$69\%$
$90\%$
$105\%$
$900\%$

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Multiple choice

The length and breadth of a rectangle field are increased, the area increased by $50$%. If the length increased by $20$%, by what percentage was breadth increased?

25%
30%
20%
Data in adequate

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Multiple choice

A rectangle was altered by increasing its length by $10$ percent and decreasing its width by $p$ percent. If these alterations decreased the area of the rectangle by $12$ percent, what is the value of $p$?

$12$
$15$
$20$
$22$

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Multiple choice

The population of a city increases at the rate of $4$% per year. If in time $t$, the population becomes $p$, then equation of $p$ in terms of $t$ is ______

$p={ e }^{ \cfrac { t }{ 25 } }$
$p=4.{ e }^{ \cfrac { t }{ 25 } }\quad $
$p=c.{ e }^{ \cfrac { t }{ 25 } }$
$p=\cfrac { 1 }{ 25 } { e }^{ 4t }$

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Multiple choice

The consumer price index in 1990 increases by 80% as compared to the base 1980. A person in 1980 getting Rs. 60,000 per annum should now get _____.

Rs. 1,08,000 per annum
Rs. 72,000 per annum
Rs. 54,000 per annum
none of the above.

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Multiple choice

A number is first increased by $20\%$ and the resulting number is then decreased by $10\%$. Find the overall change in the number as percent.

$10\%$ increase
$8\%$ increase
$12\%$ increase
$9\%$ increase

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Multiple choice

A population grows at the rate of $5 \%$ per year. Then the population will be doubled at

$10\log 2\,years$
$20\log 2\,years$
$30\log 2\,years$
$40\log 2\,years$

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Multiple choice

If a family spends on food, housing and clothing in the rate of 5 : 3 : 2 and experiences the rise in prices of these heads by 40, 30 and 20 percent respectively, the family budget will be increased by ________.

33%
40%
37%
none of the above

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Multiple choice

The population of a village is $25,000$. One-fifth are females and the rest are males, $5$% of males and $40$% of females are uneducated. What percentage on the whole are educated?

$75$%
$88$%
$55$%
$85$%

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