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Percentage - General Questions

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  • Percentage - General Questions
1. 

The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

A. 4.37%
B. 5%
C. 6%
D. 8.75%

Answer: Option B

Explanation:

Increase in 10 years = (262500 - 175000) = 87500.

Increase% = 1-sym-oparen-h1 87500 x 100 1-sym-cparen-h1% = 50%.
175000
 Required average = 1-sym-oparen-h1 50 1-sym-cparen-h1% = 5%.
10
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2. 

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

A. Rs. 6876.10
B. Rs. 6999.20
C. Rs. 6654
D. Rs. 7000

Answer: Option A

Explanation:

Rebate = 6% of Rs. 6650 = Rs. 1-sym-oparen-h1 6 x 6650 1-sym-cparen-h1 = Rs. 399.
100
Sales tax = 10% of Rs. (6650 - 399) = Rs. 1-sym-oparen-h1 10 x 6251 1-sym-cparen-h1 = Rs. 625.10
100

 Final amount = Rs. (6251 + 625.10) = Rs. 6876.10

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3. 

Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

A. Rs. 15
B. Rs. 15.70
C. Rs. 19.70
D. Rs. 20

Answer: Option C

Explanation:

Let the amount taxable purchases be Rs. x.

Then, 6% of x = 30
100
 x = 1-sym-oparen-h1 30 x 100 1-sym-cparen-h1 = 5.
100 6

 Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70

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4. 

Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

A. Rs. 200
B. Rs. 250
C. Rs. 300
D. None of these

Answer: Option B

Explanation:

Let the sum paid to Y per week be Rs. z.

Then, z + 120% of z = 550.

 z + 120 z = 550
100
11 z = 550
5
 z = 1-sym-oparen-h1 550 x 5 1-sym-cparen-h1  = 250.
11
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5. 

Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

A. 57%
B. 60%
C. 65%
D. 90%

Answer: Option A

Explanation:

Total number of votes polled = (1136 + 7636 + 11628) = 20400.

 Required percentage = 1-sym-oparen-h1 11628 x 100 1-sym-cparen-h1% = 57%.
20400
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6. 

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:

A. 2700
B. 2900
C. 3000
D. 3100

Answer: Option A

Explanation:

Number of valid votes = 80% of 7500 = 6000.

 Valid votes polled by other candidate = 45% of 6000

= 1-sym-oparen-h1 45 x 6000 1-sym-cparen-h1 = 2700.
100
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7. 

A student multiplied a number by

3 instead of 5 .
5 3

What is the percentage error in the calculation?

 

 

 

 

A. 34%
B. 44%
C. 54%
D. 64%

Answer: Option D

Explanation:

Let the number be x.

Then, error = 5 x - 3 x = 16 x.
3 5 15
Error% = 1-sym-oparen-h1 16x x 3 x 100 1-sym-cparen-h1% = 64%.
15 5x
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8. 

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

A. 2 : 3
B. 1 : 1
C. 3 : 4
D. 4 : 3

Answer: Option D

Explanation:

5% of A + 4% of B = 2  (6% of A + 8% of B)
3
5  A + 4  B = 2 1-sym-oparen-h1 6  A + 8  B 1-sym-cparen-h1
100 100 3 100 100
1  A + 1  B = 1  A + 4  B
20 25 25 75
1-sym-oparen-h1 1 - 1 1-sym-cparen-h1 A =  1-sym-oparen-h1 4 - 1 1-sym-cparen-h1 B
20 25 75 25
1  A = 1  B
100 75
A = 100 = 4 .
B 75 3

 Required ratio = 4 : 3

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