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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

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

If the price of onion increases from Rs 24/kg to Rs 36/kg, then by what percentage a household should decrease the consumption of onion so that
expenditure remains same?

A) 25	B) 33.33
C) 50	D) 20

A) 25

B) 33.33

C) 50

D) 20

Answer & Explanation Answer: B) 33.33

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5 1754

A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs. 40, then how many metres of cloth costing Rs. 32 per metre he should purchase

A) 6m	B) 5m
C) 10m	D) 7m

A) 6m

B) 5m

C) 10m

D) 7m

Answer & Explanation Answer: B) 5m

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2 1753

If in the population of a town there is an increase of 44% in the first year and 75% in the second year, then what is the average rate of increase in the population?

A) 45%	B) 59.5%
C) 74%	D) 76%

A) 45%

B) 59.5%

C) 74%

D) 76%

Answer & Explanation Answer: D) 76%

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2 1752

A Rs 750 tin of cheese is offered at 8% discount and a Rs 1,250 tin of butter at 20% discount. If we buy 5 tins of cheese and 3 tins of butter, what is the effective discount we get (in %)?

A) 12	B) 15
C) 14	D) 16

A) 12

B) 15

C) 14

D) 16

Answer & Explanation Answer: C) 14

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2 1746

If on a Sale there is 30% discount on the marked price of Rs 2500, but the sale is done at Rs 1400 only. What additional discount (in %) did the customer get?

A) 10	B) 20
C) 15	D) 25

A) 10

B) 20

C) 15

D) 25

Answer & Explanation Answer: B) 20

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0 1738

After a discount of 23% an article is sold for Rs 1848. What is the marked price (in Rs) of the article?

A) 2150	B) 2275
C) 2350	D) 2400

A) 2150

B) 2275

C) 2350

D) 2400

Answer & Explanation Answer: D) 2400

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3 1721

Tapas, Avi and Rishi shared a cake. Tapa had 1/2 of it, Rishi had 1/3 of it, and Avi had the rest. What was Avi's share of the cake?

A) 3/5	B) 2/6
C) 3/6	D) 1/6

A) 3/5

B) 2/6

C) 3/6

D) 1/6

Answer & Explanation Answer: D) 1/6

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1 1718

A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum marks of the exam?