**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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