Percentages Test

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Percentages Test - 1

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Weekly Quiz Competition

Question 1
3 / -1

If A = x% of y and B = y% of x, then which of the following is true?

A
A is smaller than B

B
A is greater than B

C
Relationship between A and B cannot be determined

D
None of these

Solution

x%ofy=x/100×y
=y/100×x
=y%ofx
∴A=B
Question 2
3 / -1

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%

Solution
Question 3
3 / -1

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

A
1

B
14

C
20

D
21

Solution

Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Question 4
3 / -1

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

Solution

X+ y=Rs. 550
x = 120% of y
120% * y+ y =550
120/100*y+y = 550
6/5y+y =550
6y+5y/5 = 550
11/5y = 550
11y = 550*5
y = 250
Question 5
3 / -1

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

Solution

5100A+4100B=23[6A100+8B100]

5A+4B=2/3(6A+8B)

15A+12B=12A+16B

3A=4B

A/B=4/3⇒
A : B = 4 : 3
Question 6
3 / -1

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

Solution

Total Valid votes are = 80% of 7500= 6000
If one has 55% vote then the other has left with 45% votes
Hence, 45% of 6000= 2700
Question 7
3 / -1

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

A
39, 30

B
41, 32

C
42, 33

D
43, 34

Solution
Question 8
3 / -1

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

Solution

Let the amout taxable purchases be Rs. x.

∴ Cost of tax free items = Rs. [25-(5+0.30)] = Rs. 19.70
Question 9
3 / -1

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

A
588 apples

B
600 apples

C
672 apples

D
700 apples

Solution

x-x(40/100)=420
x-40x/100=420
or, 60x/100=420
x=42000/60
x= 700
Question 10
3 / -1

If 20% of a = b, then b% of 20 is the same as:

A
4% of a

B
5% of a

C
20% of a

D
None of these

Solution

20% of a = b => (20/100)a = b
b% of 20 =(b/100) x 20 = (20a/100) x (1/100) x (20) = 4a/100 = 4% of a.

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Re-Attempt Weekly Quiz Competition

Percentages Test - 1

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Percentages Test - 1

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SHARING IS CARING

Question 1

A is smaller than B

A is greater than B

Relationship between A and B cannot be determined

None of these

Solution

Question 2

57%

60%

65%

90%

Solution

Question 3

1

14

20

21

Solution

Question 4

Rs. 200

Rs. 250

Rs. 300

None of these

Solution

Question 5

2 : 3

1 : 1

3 : 4

4 : 3

Solution

Question 6

2700

2900

3000

3100

Solution

Question 7

39, 30

41, 32

42, 33

43, 34

Solution

Question 8

Rs. 15

Rs. 15.70

Rs. 19.70

Rs. 20

Solution

Question 9

588 apples

600 apples

672 apples

700 apples

Solution

Question 10

4% of a

5% of a

20% of a

None of these

Solution

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