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:

38% of a number is 133. What is the number?

A) 340 B) 350
C) 360 D) 355
 
Answer & Explanation Answer: B) 350

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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:

When a number is increased by 32, it becomes 116% of itself. What is the number?

A) 384 B) 480
C) 200 D) 288
 
Answer & Explanation Answer: C) 200

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Q:

Find 150% of X, if X is the least number which when divided by 6, 7, 8, 9 and 12 leaves remainders 2, 3, 4, 5 and 8 respectively.

A) 750 B) 500
C) 1000 D) 1200
 
Answer & Explanation Answer: A) 750

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Q:

An engineering student has to secure 36% marks to pass. He gets 53 and fails by 37 marks. Find the maximum marks.

A) 275 marks B) 250 marks
C) 300 marks D) 325 marks
 
Answer & Explanation Answer: B) 250 marks

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0 1602
Q:

When a number is increased by 24, it becomes 110% of itself. What is the number?

A) 288 B) 360
C) 216 D) 240
 
Answer & Explanation Answer: D) 240

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0 1600
Q:

Cost price of a refrigerator is Rs 13400. If loss percentage is 4%, then what is the selling price (in Rs) of the refrigerator?

A) 12203 B) 12864
C) 14420 D) 11312
 
Answer & Explanation Answer: B) 12864

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Q:

Pranita got 30 marks more in Math than what she got in Science. Her Math marks are 60% of the sum of her Math and Science marks. What are her Science marks?

A) 90 B) 150
C) 120 D) 60
 
Answer & Explanation Answer: D) 60

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