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 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, ab=ab×100% .

 

Thus, 14=14×100%=25%

   

 

II. If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is R100+R×100%

If the price of the commodity decreases by R%,then the increase in consumption so as to decrease the expenditure is R100-R×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 = P1+R100n

 

2. Population n years ago =  P1+R100n

 

 

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 = P1-R100n

 

2. Value of the machine n years ago = P1-R100n

 

 

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

R100+R×100%    

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

R100-R×100%  

Q:

When a number is increased by 216, it becomes 140% of itself. What is the number?

A) 540 B) 756
C) 450 D) 675
 
Answer & Explanation Answer: A) 540

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3 1588
Q:

Kamal has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?

A) 18 B) 42
C) 50 D) 90
 
Answer & Explanation Answer: C) 50

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2 1580
Q:

A student multiplied a number by 3/10 instead of 10/3. What is the percentage error in the calculation?

A) 1011.11 percent B) 45.5 percent
C) 91 percent D) 505.56 percent
 
Answer & Explanation Answer: C) 91 percent

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1 1572
Q:

There are two buckets, smaller bucket can hold only 3/5th of the water as compared to the larger bucket. If 6,000 buckets of larger capacity are needed to fill a pond. Then how many smaller capacity buckets are needed to fill the same pond?

A) 8000 B) 10000
C) 12000 D) 15000
 
Answer & Explanation Answer: B) 10000

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0 1570
Q:

The population of a town increases by 5% in the first year, by 6% in the second year and by 8% in third year. The present population of town is 120204. What was the population of the town 3 years ago?

A) 102000 B) 100000
C) 98000 D) 101204
 
Answer & Explanation Answer: B) 100000

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Q:

If A is 6 times more than B, then by what percentage is B is less than A?

A) 64.82 B) 83.33
C) 28.56 D) 85.71
 
Answer & Explanation Answer: D) 85.71

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5 1551
Q:

The price of an article is cut by 33%, to restore to its original value, the new price must he increased by

A) 33 percent B) 49.25 percent
C) 24.81 percent D) 41.25 percent
 
Answer & Explanation Answer: B) 49.25 percent

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Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle?

Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?

A) Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I< Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: A) Quantity I > Quantity II

Explanation:

Quantity I= 20% - 10% - (20*10/100) % = +8%

Quantity II= 30% - 20% - (30*20/100)% = +4%

Hence Quantity I > Quantity II

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