**Word Problems of Percentage :**

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

**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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