## WORD PROBLEMS OF PERCENTAGE

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. If you would like to have more word problems on percentage,

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 