**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 |

**SAMPLE PROBLEMS**

1 In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?

A. 72

B. 80

C. 120

D. 150

E. 100

2 The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

A. 4.37%

B. 5%

C. 6%

D. 8.75%

3 A student multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation ?

A. 54%

B. 64%

C. 74%

D. 84%

4 The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :

A. 10000

B. 12000

C. 14000

D. 16000

5 If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

A. 31/25

B. 15/17

C. 14/25

D. 11/16