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Quantitative Aptitude - Arithmetic Ability/
Percentage

Percentage Questions

Popular Latest Rated Important Formulae

FACTS AND FORMULAE FOR PERCENTAGE QUESTIONS

I.Concept of Percentage : By a certain percent , we mean that many hundredths. Thus x percent means x hundredths, written as x%.

To express x% as a fraction : We have , x% = x/100.

Thus, 20% = 20/100 = 1/5;

48% = 48/100 = 12/25, etc.

To express a/b as a percent : We have, $\frac{a}{b} = (\frac{a}{b} \times 100) %$ .

Thus, $\frac{1}{4} = (\frac{1}{4} \times 100) % = 25 %$

II. If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is $[\frac{R}{(100 + R)} \times 100] %$

If the price of the commodity decreases by R%,then the increase in consumption so as to decrease the expenditure is $[\frac{R}{(100 - R)} \times 100] %$

III. Results on Population : Let the population of the town be P now and suppose it increases at the rate of R% per annum, then :

1. Population after n years = $P {(1 + \frac{R}{100})}^{n}$

2. Population n years ago = $\frac{P}{{(1 + \frac{R}{100})}^{n}}$

IV. Results on Depreciation : Let the present value of a machine be P. Suppose it depreciates at the rate R% per annum. Then,

1. Value of the machine after n years = $P {(1 - \frac{R}{100})}^{n}$

2. Value of the machine n years ago = $\frac{P}{{(1 - \frac{R}{100})}^{n}}$

V. If A is R% more than B, then B is less than A by

$[\frac{R}{(100 + R)} \times 100] %$

If A is R% less than B , then B is more than A by

$[\frac{R}{(100 - R)} \times 100] %$

The marked price of a book is Rs 4200. The shopkeeper gives two successive discounts of 25% and y% to the customer. If the customer pays Rs 2898 for the book, then what is the value (in percentage) of y?

A) 7	B) 8
C) 6	D) 5

A) 7

B) 8

C) 6

D) 5

Answer & Explanation Answer: B) 8

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1 1823

A number is divided into two parts in such a way that 30% of first part is 25 more than the 20% of second part. 50% of second part is 33.5 more than the 60% of first part. What is the number?

A) 1475	B) 1655
C) 1425	D) 1905

A) 1475

B) 1655

C) 1425

D) 1905

Answer & Explanation Answer: A) 1475

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3 1816

Two labourers A and B are paid a total of Rs 650 per day. If A is paid 160 percent of what is paid to B, how much (in Rs) is B paid?

A) 250	B) 400
C) 350	D) 450

A) 250

B) 400

C) 350

D) 450

Answer & Explanation Answer: A) 250

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0 1815

The price of an article is cut by 7%, to restore it to its original value, the new price must be increased by

A) 7 percent	B) 33.77 percent
C) 7.53 percent	D) 63.75 percent

A) 7 percent

B) 33.77 percent

C) 7.53 percent

D) 63.75 percent

Answer & Explanation Answer: C) 7.53 percent

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0 1803

The price of an article is discounted by 25%, to restore to its original value, the new price must be increased by

A) 57 percent	B) 36.31 percent
C) 71.25 percent	D) 33.33 percent

A) 57 percent

B) 36.31 percent

C) 71.25 percent

D) 33.33 percent

Answer & Explanation Answer: D) 33.33 percent

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2 1800

The price of a shirt after 15% discount, is Rs.119. What was the marked price of the shirt before discount

A) Rs.129	B) Rs.140
C) Rs.150	D) Rs.160

A) Rs.129

B) Rs.140

C) Rs.150

D) Rs.160

Answer & Explanation Answer: B) Rs.140

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1 1798

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?