Solve the following problems. Show your solution.
1. In a sale, regular prices are reduced by 20%. The sale price of shirts is Php 120.00
each. Find its regular price.
2. In a crate of papayas, 12% of the papayas are rotten and 66 are in good condition.
Find the total number of papayas in the basket.
3. While shopping, Grace spent 90% of the money she had. If she had Php 6,000.00 on
shopping, what was the amount of money that was left?
4. Jem scores 72 out of 80 in her English exam. Convert her score into percent.
5. There are 50 students in an online class. Twenty-eight were not able to attend on a
particular day. What is the percentage of students present in the class?
WITH SOLUTION BTW WELP
NEED KO NA TO
1. In a sale, regular prices are reduced by 20%. The sale price of shirts is Php 120.00
each. Find its regular price.
2. In a crate of papayas, 12% of the papayas are rotten and 66 are in good condition.
Find the total number of papayas in the basket.
3. While shopping, Grace spent 90% of the money she had. If she had Php 6,000.00 on
shopping, what was the amount of money that was left?
4. Jem scores 72 out of 80 in her English exam. Convert her score into percent.
5. There are 50 students in an online class. Twenty-eight were not able to attend on a
particular day. What is the percentage of students present in the class?
WITH SOLUTION BTW WELP
NEED KO NA TO
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Answers & Comments
1.) rate: 20%
percentage: 120
base: ?
formula for base:
percentage ÷ rate
change the rate to its decimal form first
20% ➜ 0.20 or 0.2
divide
120 ÷ 0.20 = 600
Answer: its regular price is ₱600
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2.) in this problem, the given rate and percentage are separated, but they still have the same base.
66 is 88% of the base, since 12% is already taken
formula for base:
percentage ÷ rate
change the rate to its decimal form
88% ➜ 0.88
divide
66 ÷ 0.88= 75
Answer: the total number of papayas is 75
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3.) base: 6000
rate: 90%
formula for percentage:
base × rate
change the rate to its decimal form
90% ➜ 0.90 or 0.9
multiply
6000 × 0.90 = 5400
Grace spent ₱5400, to find how much was left, subtract 5400 from 6000
6000 - 5400 = 600
Answer: the amount of money that's left was ₱600
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4.) base: 80
percentage: 72
formula for rate:
percentage ÷ base
72 ÷ 80 = 0.9
0.9 ➜ 90%
Answer: Jem scores 90% in her English exam
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5.) base: 50
percentage: 28
since 28 is the number of students that were not able to attend, and we're looking for the number of students that are present, subtract 28 from 50
50 - 28 = 22
now that we know that 22 students were present, let's find what percent of 50 is 22 by dividing
formula for rate:
percentage ÷ base
22 ÷ 50 = 0.44
0.44 ➜ 44%
Answer: 44% of the class (22 students) were present
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