Grade 5

1. i
5
AIRs - LM
Mathematics
Quarter 3 – Week 2
Module 2- Lesson 1 & 2
PERCENTAGE

2. Mathematics 5
Quarter 3 – Week 2, Module 2: Lesson 1 & 2- Percentage
First Edition, 2021
COPYRIGHT 2021
La Union Schools Division
Region I
All rights reserved. No part of this module may be reproduced in any form without
written permission from the copyright owners.
Development Team of the Module
Writer: Melba D. Pajarillo
Editor: SDO La Union, Learning Resource Quality Assurance Team
Illustrator: Ernesto F. Ramos Jr., P II
Management Team:
Atty. Donato D. Balderas, Jr.
Schools Division Superintendent
Vivian Luz S. Pagatpatan, PhD
Assistant Schools Division Superintendent
German E. Flora, PhD, CID Chief
Virgilio C. Boado, PhD, EPS in Charge of LRMS
Erlinda M. Dela Peña, PhD, EPS in Charge of Mathematics
Michael Jason D. Morales, PDO II
Claire P. Toluyen, Librarian II

3. Target
A great day to you young learners!
This module has been prepared to help you master basic concepts
and skills in solving percent problems. Activities have been chosen that you can
relate math with problems you encounter in your daily life.
At the end of this module, you are expected to:
• find the percentage in a given problem
• solve routine and non-routine problems involving
percentage using appropriate strategies and tools.
Lesson 1
Finding the Percentage in
a Given Problem
Jumpstart
A. Complete the table. Write your answer on the line. Simplify the fraction, if possible.
Percent Fraction Decimal
1. 61% __________
__________
2. __________
13
100 __________
3. __________ __________
0.25
4. __________ __________
1.75
5. __________
7
100 __________
B. Write the value of ‘n’ in each equation.
_____ 6. 10% of 80 = n
_____ 7. 75% of 100 = n

4. _____ 8. 30% of 150 = n
_____ 9. 20 % of 80 = n
_____ 10. 8% of 160 = n
Discover
Let’s read and answer the problem below.
Allen has a savings of Php1,800. He spent 30% of it on a t-shirt. How
much did he spend?
When you learned how to translate simple English statements into
mathematical expressions, you learned that “of” can indicate times. This frequently
comes up when using percentage.
In the given problem, you need 30% of Ph1 800. Convert the percentage
“30%” to its decimal form, namely the number 0.30. Then, since “30% of Ph1 800”
tells you to multiply the 0.30 and 1 800, you get 0.30 x 1 800 = 540. This says that
540 is 30% of Ph1 800.
Therefore, Allen spent Php 540 on a t-shirt.
Study the other examples below:
1. What is 50% of 80?
N = 0.50 x 80
(what) (is) (50%) (of) (eighty)
The equation is:
N = 0.50 x 80
= 40
Forty is 50% 0f 80
2. 45% of what is 9.
0.45 x = 9
(45%) (of what) (is) (nine)
The equation is:
0.45(x) = 9
0.45 (𝑥)
0.45
=
9
0.45

5. X =
9
0.45
x = 20
Therefore, 9 is 45% of 20.
3. What percent of 20 is 30?
We have the original number 20 and the comparative number 30. The
unknown in the problem is the rate of percentage. The equation is:
X 20 = 30
(what percent) (of twenty) (is) (thirty)
X(20) = 30
𝑥(20)
20
=
30
20
X = 1.5
Since x stands for a percentage, convert this decimal into a percentage, 1.5
times 100%, hence, 1.5 = 150%.
Therefore, 30 is 150% of 20.
Explore
Let us try!
Solve for the following problem.
_____ 1. 5% of 30
_____ 2. 125% of 120
_____ 3. 1.75% of 500
_____ 4. 4% of what is 3.52.
_____ 5. 55% of what is 429.

6. Deepen
Directions: Solve for the percentage. Write letter of the correct answer.
_____ 1. What percent of 80 is 160?
A. 240% B.220% C. 200% D. 180%
_____ 2. What percent of 80 is 72?
A. 86% B. 88% C. 90% D. 92%
_____ 3. What percent of 60 is 24?
A. 40% B. 80% C. 120% D. 160%
_____ 4. What percent of 2,000 is 210?
A. 10% B. 10.5% C. 10.75% D. 10.8%
_____ 5. What percent of 400 is 260?
A. 45% B. 55% C. 60% D. 65%
Gauge
Let’s do it independently!
A. Directions: Find the answer to each question.
_____ 1. What is 6% of 25?
_____ 2. What number is 10% of 90?
_____ 3. What is 15% of 320?
_____ 4. What is 50% of 30?
_____ 5. What is 65% of 40?
B. Directions: Solve for the percentage. Then choose the letter of the correct answer.
_____ 6. 75% of what number is 225?
A. 220 B. 300 C. 330 D. 335
_____ 7. 8% of what is 480?
A. 60 B. 600 C. 6 000 D. 60 000
_____ 8. 120% of what is 858?
A. 0.715 B. 7.15 C. 71.5 D. 715
_____ 9. What percent of 700 is 21?
A. 2% B. 3% C. 4% D. 7%
_____ 10. What percent of 300 is 186?
A. 56% B. 58% C. 60% D. 62%

7. Lesson 2
Solving Routine and Non-Routine
Problems Involving Percentage Using
Appropriate Strategies and Tools
Jumpstart
Try to answer these problems!
Directions: Read and solve each problem. Write your answer on the blank provided
for.
1. Father bought 30 hamburgers, 60% of which are cheeseburgers, 10% are fish
burgers, and 30% are chicken burgers.
a. How many are cheeseburgers? _________________________________
b. How many are fish burgers? _________________________________
c. How many are chicken burgers? _________________________________
2. Mother bought 60 balloons for my sister’s birthday, of which 20% are red, 45%
are green and 35% are blue.
a. How many balloons are red? _________________________________
b. How many are green? _________________________________
c. How many are blue? _________________________________
Discover
Let’s read and answer the problem below.
In Grade 5 – Chrysanthemum class, there are 40 pupils. 35% of them are
boys. How many are boys?
Remember these three important words that help us in solving problems about
percent:
1. Base represents the whole. It is the total number from which a percent is
taken.
2. Percentage is a part of a whole. It is the result of finding a certain percent of
a number.
3. Rate is the number indicating how many percent or hundredths are taken.
In solving word problems, we need to follow the following steps.

8. Steps in Solving Word Problems:
1. UNDERSTAND the problem.
• Asked
• Given facts
2. PLAN what to do.
• Operation/Formula/method/strategy
• Number Sentence
3. SOLVE the problem.
• Solution
• Complete Answer
4. CHECK your answer
• Verify the answer if correct.
We can use any of the methods discussed in lesson 1 to solve problems involving
percentage.
Now, let’s answer the problem above.
1. UNDERSTAND the problem.
• Asked: the number of boys
• Given facts: 40 pupils, 35% of them are boys
2. PLAN what to do.
The number of boys is asked, so the percentage is unknown. We can use either
Ratio and proportion or the Techan’s Triangle.
3. SOLVE the problem.
Using Ratio and Proportion Using the Techan’s triangle method
𝑅𝑎𝑡𝑒 (𝑅)
100
=
𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 (𝑃)
𝐵𝑎𝑠𝑒 ( 𝐵)
35
100
=
𝑃
40
100P = 35 x 40
100P = 1,400
100𝑃
100
=
1,400
100
P = 14
P = R x B
= 35% x 40
= 0.35 x 40
= 14
Therefore, there 14 boys in the class.
4. CHECK your answer.
Using Ratio and Proportion
𝑅𝑎𝑡𝑒 (𝑅)
100
=
𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 (𝑃)
𝐵𝑎𝑠𝑒 ( 𝐵)
35
100
=
14
40
14 x 100 = 35 x 40
1,400 = 1,400
Note: change 35% to decimal
35 % = 0.35

9. Let’s have other example!
The block model approach is a method of visualizing word problems
using blocks to represent a problem situation. It is especially helpful in solving
problems requiring two or more steps.
Teresa has 140 stamps. She has 75% more stamps than Elvie. How
many stamps does Elvie have?
1. UNDERSTAND the problem.
• Asked: the number of stamps Elvie has
• Given facts: Teresa has 140 stamps; 75% more than Elvie
2. PLAN what to do.
The number of stamps Elvie has is asked. Note that the given 140 stamps of
Teresa is 75% more than that of Elvie. It means 140 stamps is 175%.
3. SOLVE the problem.
Let us solve this problem by using the block model approach.
140
Teresa
?
Elvie
100% 75%
100% + 75% = 175%
175% = 140 stamps
1% = 140 ÷ 175
100% = 140 ÷ 175 x 100
100% = 80 stamps
Therefore, Elvie has 80 stamps.
Joyce’s savings is 20% more than Carol’s. If Joyce transfers Php 480
into Carol’s savings account, Carol’s savings will be 20% more than Joyce’s.
Find their total savings.
1. UNDERSTAND the problem.
• Asked: the total savings of Joyce and Carol
• Given facts: Joyce’s savings is 20% more than Carol’s, Joyce transfers Php
480 into Carol’s savings account; Carol’s savings will be 20% more than
Joyce’s
2. PLAN what to do.
The total savings of Joyce and Carol is asked.
3. SOLVE the problem.
Let us solve this problem by using the block model approach.
100%
Joyce
Carol
20%
Php 480

10. 20% = Php 480
100% =
𝑃ℎ𝑝480
20
x 100
= Php24 x 100
= Php2,400
Carol has Php2,400.
Joyce has Php 2,400 + Php480 = Php2,880
Php2,880 + Php2,400 = Php5,280
Their total savings is Php5,280.
Explore
Let us try!
Directions: Read, understand and analyze each problem, then answer the given
questions. Write your answer in a sheet of paper.
A. There is a total of 43 800 books in the library. Of these books, 21% are Science
books. How many Science books are in the library?
1. Asked: ________________________________________
2. Given Facts: ________________________________________
3. Complete Answer: ___________________________________
B. A table is given a discount of 20%. The original price of the table is Php850.
How much is the discount?
4. Asked: ________________________________________
5. Given Facts: ________________________________________
6. Complete Answer: ___________________________________
C. Rey has read 48% of his 350-page favourite book. How many more pages does
he have to read?
7. Asked: ________________________________________
8. Given Facts: ________________________________________
9. Complete Answer: ___________________________________

11. Deepen
Directions: Read and solve each problem. Use any method. Write the complete
answer on the line.
1. In a computer library, 30% of the class is doing interactive mathematics
exercises while the others are doing research work. If there are 50 pupils in
the class, how many are doing Mathematics exercises?
___________________________________________________________________________
2. Alex has a collection of 180 stamps, 30% of which are foreign stamps. How
many stamps are foreign?
___________________________________________________________________________
3. A fish tank is 80% filled with water. If the capacity of the fish tank is 50 liters,
how much water is in the fish tank?
__________________________________________________________________________
4. A tourist bus has covered 30% of the 84.5 km trip. How many more kilometres
will the bus travel to reach its destination?
___________________________________________________________________________
5. Alyssa received a 20% discount on a book that originally costs Php320. How
much did she pay for the book?
___________________________________________________________________________

12. Gauge
Let’s do it independently!
A. Directions: Read and analyze each item carefully. Write the letter of your
choice in a sheet of paper.
1. Arianne bought 48 packs of sweets and shared 25% of them How many packs of
sweets did she share?
A. 6 packs B. 12 packs C. 24 packs D. 36 packs
2. From a container with 50 liters of pineapple juice, the vendor has sold 24% of it.
How much juice was sold?
A. 6 liters B. 12 liters C. 24 liters D.36 liters
3.
3
4
of a number is 48. What is 25% of the number?
A.16 B. 36 C. 48 D. 64
4. A table is given a discount of 20%. The original price of the table is Php 850.
What is the selling price?
A. Php 170 B. Php 680 C. Php 720 D. Php 800
5. There were 850 participants in a Math competition. The top 20% qualified for the
regional level. How many participants did not qualify in the regional level?
A. 170 B. 680 C. 720 D. 800
B. Directions: Read, understand and analyze the problem, then answer the
questions.
Anton earned Php75 an hour. Antonette earned 20% more money
than Anton. How much money did Antonette earn in an hour?
6. Asked: ________________________________________
7. Given Facts: ________________________________________
8. Use block model to illustrate the problem:
________________________________________
9. Solution: ________________________________________
10. Complete Answer: ________________________________________

13. Answer Key
Lesson
1
Jumpstart
1.
61
100
0.61
6)
8
2.
13%
0.13
7)
75
3.
25%
1
4
8)
45
4.
175%
1
3
4
9)
16
5.
7%
0.07
10)
12.8
Explore
1)1.5
2)
150
3)
8.75
4)
88
5)780
Deepen
1)
C
2)
A
3)
A
4)
B
5)D
Gauge
1)
1.5
2)
9
3)
48
4)15
5)
26
6)
B
7)
C
8)
D
9)
B
10)
D
Lesson
2
Jumpstart
1.
A)
18
B)
3
C)
9
2.
A)
12
B)
27
C)
21
Explore
1)
the
number
of
Science
books
in
the
library
2)
43
800
books;
21%
are
Science
books
3)
9,198
Science
books
4)
the
amount
of
discount
5)
discount
of
20%;
Php850
price
of
the
table
6)
Php170
7)
the
number
of
pages
he
has
to
read
more
8)
read
48%
of
his
350-page
favourite
book
9)
182
pages
Deepen
1)
15
pupils
2)
54
foreign
stamps
3)
40
L
4)
59.15
km
5)
Php256
Gauge
1)
C
2)
B
3)
A
4)
B
5)
B
6)
The
amount
of
money
Antonette
earned
in
an
hour
7)
Anton
earned
Php75
an
hour;
Antonette
earned
20%
more
8)
9)
100%
+
20%
=
120%
100%
=
Php75
1%
=
Php75
÷
100
=
0.75
120%
=
120
x
0.75
=
Php
90
10)
Antonette
earned
Php90
in
an
hour.

14. References:
Manuel T. Kotah, Jr., et al. 2020. Soaring 21st Century Mathematics 5.
Philippines. Phoenix Publishing House, Inc
Abelardo B. Medes, 2015. Real – Life Mathematics 5. Philippines. Abiva
Publishing House, Inc.
Luzviminda C. Funa, et.al, 2001. Mathematics in a Challenging World 6.
Philippines. Instructional Coverage System Publishing, Inc.