WORD PROBLEMS OF PERCENTAGE

Word Problems of Percentage :

In this section, we are going to learn, how to solve percentage word problems step by step.

Word Problems of Percentage - Practice Problems

Problem 1 : 

12% of the books in a public library are English books. If there are 92,000 books in the library, find the number of  English books.

Solution : 

No. of English books in the library is 

=  12% of the total books

=  0.12 ⋅ 92000

=  11,040

Hence, the no. of English books in the library is 11,040. 

Problem 2 : 

A boy secured 88% of the total marks in a public examination. The total marks were 1200. How many marks did the boy secure ?

Solution : 

Marks scored by the students is 

=  88% of the total marks

=  0.88 ⋅ 1200

=  1056

Hence, the no. of English books in the library is 1056. 

Problem 3 : 

A packet contained 450 chocolates. 60% of the chocolates were distributed to the children.

(i) How many chocolates were distributed ?

(ii) How many chocolates remained in the packet ?

Solution (i) : 

No. of chocolates were distributed is 

=  60% of the packet (450 chocolates)

=  0.60 ⋅ 450

=  270

Hence, the no. of chocolates distributed to the children is 270.

Solution (ii) : 

No. of chocolates remained in the packet after distribution is

=  Total no. chocolates - No. of chocolates distributed

=  450 - 270

=  180

Hence, the no. of chocolates remained in the packet after distribution is 180. 

Problem 4 : 

A man had $360,000 worth of property. He left 60% of his property to his son. How much did his son get ?

Solution : 

The worth of property received by the son is

=  60% of the total property

=  0.6 ⋅ 360,000

=  216,000

Hence, the worth of property received by the son is $216,000. 

Problem 5 : 

A company gives a bonus of 12½% of the total yearly salary to each of its employees during a year. If an employee gets a monthly salary of $2000, how much bonus will he get ?  

Solution : 

Monthly salary of the employee  =  $2000

Yearly salary of the employee is

=  12 ⋅ 2000

=  $24,000

The bonus that the employee will get is

=  12½% of yearly salary

or

=  12.5% of yearly salary

=  0.125 ⋅ 24,000

=  $3000

Hence, the employee gets a monthly salary of $2000 will get a bonus of $3000. 

Problem 6 : 

A person bought a property for $120,000. If he has to pay $2400 to a broker for arranging the purchase, what percent is it of the total purchase value ?  

Solution : 

Percentage of brokerage of total purchase value is

=  (Brokerage amount/Total worth of the property)  100 

=  (2400 / 120,000) ⋅ 100 %

=  2%

Hence, 2% of the total value of the property is paid as brokerage. 

Problem 7 : 

A fruit seller bought 1200 mangoes. 7% of the mangoes were rotten. Find the number of mangoes became rotten. 

Solution : 

No. of mangoes became rotten is

=  7% of the total mangoes 

=  0.07 ⋅ 1200

=  84

Hence, 84 mangoes became rotten.  

Problem 8 : 

In a school, there were 1200 students. 15% of the students went on an excursion. Find the number of students who joined the excursion.

Solution : 

No. of students who joined the excursion is 

=  15% of the total students 

=  0.15 ⋅ 1200

=  180

Hence, the number students who joined the excursion is 180. 

Problem 9 : 

The population of a town was 320,000. If the population is increased by 4%, find the increase in population.

Solution : 

The increases in population is 

=  4% of the total population 

=  0.04 ⋅ 320,000

=  12,800

Hence, the increase in the population is 12,800. 

Problem 10 : 

A person gets a salary of $2800 per month. If he saves 20% of his salary, find his savings per month.

Solution : 

The person's savings per month is 

=  20% of his monthly salary 

=  0.2 ⋅ 2800

=  560

Hence, the person's savings per month is $560. 

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