Percentage Questions with answers are provided here. Students can practise these questions based on percentages to prepare for the upcoming exams. These percentage problems are prepared by our subject experts, as per the latest exam pattern. All the materials here are formulated according to the NCERT curriculum and the latest CBSE syllabus (2022-2023). Learn How to Calculate Percentage here at BYJU’S with easy steps.
Definition: Percentage is derived from the Latin word “per centum”. It means by the hundred. It is denoted by %. If we say, 5%, then it is equal to 5/100 = 0.05.
Percentage Questions and Solutions
Q.1: A fruit seller had some apples. He sells 40% apples and still has 420 apples. What is the total number of apples he had originally?
Solution: Let the number of apples a fruit seller had be x.
As per the given question,
(100 – 40%) of x = 420
60% of x = 420
60/100 x = 420
X = 700
Hence, the fruit seller had a total of 700 apples
Q.2: A person multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation?
Solution: Let the number be X.
X is mistakenly multiplied by ⅗ = 3X/5
X should be multiplied by 5/3 = 5X/3
Thus, the error will be = (5X/3 – 3x/5) = 16X/15
Percentage Error = (error/True value) x 100
= [(16/15) x X/(5/3) x X] x 100
= 64 %
Q.3: If 20% of x = y, what is the value of y% of 20 in terms of x?
Solution: Given,
20% of x = y
⇒ (20/100) x = y
y% of 20
=(y/100). 20
= [(20x/100) / 100] x 20
= 4x/100
= 4% of x
Q.4: Three students contested an election and received 1000, 5000 and 10000 votes, respectively. What is the percentage of the total votes the winning student gets?
Solution: Total number of votes = 1000 + 5000 + 10000 = 16000
The student who won the votes got 10000 votes
Hence, the percentage will be:
(10000/16000) x 100% = 62.5%
Q.5: If the price of a product is first decreased by 25% and then increased by 20%, then what is the percentage change in the price?
Solution: Let the original price be Rs. 100.
New final price = 120 % of (75 % of Rs. 100)
= Rs. [(120/100) x (75/100) x 100]
= Rs. 90
Therefore, the net change in price is 100 – 90 = 10.
Percentage decrease = 10%
Q.6: The value of a washing machine depreciates at the rate of 10% every year. If its present value is Rs. 8748, then what was the price of the washing machine three years ago?
Solution: Given,
Current price of the washing machine = Rs.8748
The price of the machine depreciated at the rate of 10% every year
Therefore, the price of the washing machine three years ago = 8748 ÷ (1 – 10/100)3
= Rs. [8748 x (10/9) x (10/9 ) x (10/9)]
= Rs.12000
Q.7: For a student to clear an examination, he must score 55% marks. If he gets 120 and fails by 78 marks, what is the total marks for the examination?
Solution: Given, the mark obtained by the student is 120 and the student fails by 78 marks
Therefore, the passing marks is = 120+78 = 198
Let us consider, the total marks be x
Then,
⇒ (55/100) × x = 198
⇒ x = 360
Q.8: By how much is 80% of 40 greater than 4/5 of 25?
Solution: 80% of 40 = 80/100 × 40
⅘ of 25 = ⅘ × 25
Required value = (80/100) × 40 – (4/5) × 25
= 32 – 20
= 12
Q.9: A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the original number?
Solution: Let the original number be x
Final number obtained = 110% of (90% of x)
=(110/100 × 90/100 × x)
= (99/100)x
Given the number obtained is 10 less than the original number.
x – (99/100) x = 10
Hence,
x =1000
Q.10: What is the percentage of ratio 5:4?
Solution: 5 : 4 = 5/4 = ( (5/4) x 100 )% = 125%.
Related Articles
- Percent Error
- Percentage Increase Or Decrease
- Loss Percentage Formula
- Fraction to Percent Conversion
- Difference Between Percentage and Percentile
Practice Questions on Percentage
- What is 25% of 80?
- What is the percentage of 50 paise to 4 rupees?
- Find the percentage change, when a number is changed from 100 to 80.
- 50 is what percentage of 500?
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