Percentage Questions Set 2
Q.1. The population of a town is increased from 54500 to 58500 in one year. What is the percentage increase in the population?
- 6.34%
- 5.34%
- 7.34%
- 4.34%
Answer with Explanation:- (3)
Increase in population = 58500 - 54500 = 4000
∴ Percentage increase = (4000/54500) * 100 = 7.34 %
Q.2. If the length of a rectangle is increased by 37.5% and its breadth is decreased by 20%, find the change in its area.
- 10% increase
- 13% decrease
- 15% increase
- 10% decrease
Answer with Explanation:- (1)
Area of rectangle = length * breadth
Length is Increased by 37.5% = 37(1/2)* 1/100 = 3/8
Breath is decreased by 20% = 1/5
l * b = Area
Old: 8 * 5 = 40
New: 11 * 4 = 44
Difference = 44-40 = 4
Original = 40
The percentage change is equal to (difference / original) * 100.
(4/40) *100 = 10% increase
Q.3. If 40% of 60% of 3/5 of a number is 504, what will be the 25% of 2/5 of that number?
- 350
- 150
- 175
- 230
Answer with Explanation:- (1)
Let the number is x.
(40/100) * (60/100) * (3/5) * x = 504
x= 3500
Now, (25/100)*(2/5)* 3500 = 350
Q.4. If a number x is 10% less than another number y and y is 10% more than 125, find the value of x.
- 150
- 125
- 123.75
- 175.25
Answer with Explanation:- (3)
We can write 10% increase as 11/10 that indicates +1 increase per 10
Similarly, we can write 10% decrease as 9/10 that indicates -1 decrease per 10
So, the required number = 125 * (11/10) * (9/10) = 123.75
Q.5. A student multiplied a number by 3/5 instead of 5/3. What is % error in calculation?
- 54%
- 64%
- 74%
- 84%
Answer with Explanation:- (3)
Let the number be x
error = 5x/3 - 3x/5 = 16x / 15
Error % = (16x/15) * (3/5x) * 100 = 64%
Q.6. A candidate who scores 30% fails by 5 marks, while another candidate who scores 40% marks gets 10 more than minimum passing marks. The minimum marks required to pass:
- 50
- 100
- 45
- 150
Answer with Explanation:- (1)
Let the total marks = x
So, (30/100)*x +5 = (40/100)*x - 10
(3/10)*x+5 = (4/10)*x -10
3x + 50 = 4x - 100
x = 150
Marks of Candidate A= 30% of 150 = 45
Candidate A fails by 5 marks.
So, minimum passing marks = 45 + 5=50
Q.7. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was
- 3100
- 2400
- 2700
- 3400
Answer with Explanation:- (3)
Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000 = (45/100) * 6000 = 2700
Q.8. 65% of a number is more than its 36% by 58. What is 23% of the total number?
- 46
- 23
- 66
- 58
Answer with Explanation:- (1)
The difference between 65% and 36% of the number = 29%
Also, the difference between 65% and 36% = 58
Now, 29% is equal to 58.
So, 1% = 58/29 = 2 %
Then, 100% = 200
Now, 23% of 200 = 46
Hence, the required number is 46.
Q.9. In an election 2 candidates participate, 20% of the votes are declared invalid, and the winner gets 70% of the valid votes and wins the election by 3200 votes. Find the valid votes.
- 10000
- 8000
- 5620
- 12000
Answer with Explanation:- (2)
Let total votes = 100
Then, 80 votes are valid only.
As per question, the winner gets = 80*(70/100) = 56 (valid votes),
So, the loser's votes = 80-56=24
Difference = 32, but acc to ques, it is 3200
i.e., 32 * 100 = 3200
Hence 80 * 100= 8000
So, we have to multiply 32 by 100 to make it equal to 3200.
So, 80 is also multiplied with 100.
Therefore, the total valid votes = 80 * 100= 8000
Q.10. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
- 47%
- 57%
- 67%
- 77%
Answer with Explanation:- (2)
Total number of votes polled = (1136 + 7636 + 11628) = 20400
Required % = (11628 / 20400) * 100 = 57%
For any queries or doubts refer to comment section mentioning question number with doubt
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