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.
No. of English books in the library is
= 12% of the total books
= 0.12 ⋅ 92000
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 ?
Marks scored by the students is
= 88% of the total marks
= 0.88 ⋅ 1200
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
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
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 ?
The worth of property received by the son is
= 60% of the total property
= 0.6 ⋅ 360,000
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 ?
Monthly salary of the employee = $2000
Yearly salary of the employee is
= 12 ⋅ 2000
The bonus that the employee will get is
= 12½% of yearly salary
= 12.5% of yearly salary
= 0.125 ⋅ 24,000
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 ?
Percentage of brokerage of total purchase value is
= (Brokerage amount/Total worth of the property) ⋅ 100
= (2400 / 120,000) ⋅ 100 %
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.
No. of mangoes became rotten is
= 7% of the total mangoes
= 0.07 ⋅ 1200
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.
No. of students who joined the excursion is
= 15% of the total students
= 0.15 ⋅ 1200
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.
The increases in population is
= 4% of the total population
= 0.04 ⋅ 320,000
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.
The person's savings per month is
= 20% of his monthly salary
= 0.2 ⋅ 2800
Hence, the person's savings per month is $560.
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