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:

If the ratio of marked price and selling price is 11 : 10, then what is the discount percentage?

A) 11.11 B) 17.28
C) 12.5 D) 9.09
 
Answer & Explanation Answer: D) 9.09

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage

2 1137
Q:

54% of 4000 is

A) 2025 B) 2172
C) 2232 D) 2160
 
Answer & Explanation Answer: D) 2160

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

2 1130
Q:

The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is

A) 56 B) 78
C) 70 D) 80
 
Answer & Explanation Answer: B) 78

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

3 1129
Q:

Find the marked price if the selling price is Rs. 9250 and discount is 7.5%.

A) 9000 B) 8556.25
C) 10000 D) 9943.75
 
Answer & Explanation Answer: C) 10000

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

0 1128
Q:

If 5/6th of 7/6th of a number is 140, then 9/4th of that number is

A) 225 B) 87
C) 301 D) 324
 
Answer & Explanation Answer: D) 324

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

0 1128
Q:

56% of 250 is

A) 56 B) 140
C) 84 D) 112
 
Answer & Explanation Answer: B) 140

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

13 1127
Q:

Two numbers are 40% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 16.67 percent B) 20 percent
C) 10 percent D) 25 percent
 
Answer & Explanation Answer: B) 20 percent

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

2 1121
Q:

If the shopkeeper sells an item at Rs 450 which is marked as Rs 600, then what is the discount he is offering?

A) 33.33 percent B) 25 percent
C) 20 percent D) 30 percent
 
Answer & Explanation Answer: B) 25 percent

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

0 1118