Percentage For SBI PO : Set -06

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

e) None of these

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a)

Total No. of votes=7500

20% invalid=1500; valid = 6000

Other candidate= 45%

45% of 6000=2700

2) 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

e) None of these

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d)

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

A:B=> 4:3

3) 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) If x is smaller than y, then A is greater than B.

e) None of these

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e)

A=x% of y; B=y% of x

Let x=10; y=20

A=Z; B=Z

Let x=20; y=10

A=Z; B=Z

4) 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

e) None of these

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A = 56%; B= 44%

A:B => 14:11

14x-11x=> 9; x=3

42,33

5) 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c?

a) 1/32

b) 1/4

c) 1

d) 4

e) None of these

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4% of a =8; a=8*100/4 ; a=200

8% of b=4; b=50

C=b/a = 50/200=1/4

6) If b equals 10% of a andc equals 20% of b, then which one of the following equals 30% of c?

a) 0.006% of a

b) 0.00006% of a

c) 0.06% of a

d) 0.6% of a

e) None of these

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b=10% of a = 0.1a

C= 20% of b = 0.2b

C=0.2*0.1a

30% of c=0.3c

0.3(0.2*0.1a)

0.006a

0.6% of a


7) Ram’s salary was decreased by 25% and subsequently increased by 25%. He has a net salary reduction of

a) 62.5%

b) 6.25%

c) 0.625%

d) 0.0625%

e) None of these

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b)

Let salary be 100

Decrease by 25% => 75

Increase by 25% => 75*125%

93.75

(100-93.75)

6.25

8) A student has to secure 40% marks to pass. He gets 178 marks and failed by 22 marks. The maximum marks are

a) 200

b) 500

c) 800

d) 900

e) None of these

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b)

Marks obtained = 178

Failed by 22

Pass mark is 200

Total mark x

40% of x=200

X=500

9) By how much percent is two-third of 90 lesser than four-fifth of 100?

a) 16%

b) 25%

c) 24%

d) 32%

e) None of these

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b)

4/5*100-2/3*90 => 20

=>20/80*100=25%

10) 30% of a number when subtracted from 91 gives the number itself. The number is

a) 70

b) 130

c) 63.7

d) 70.7

e) None of these

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a)

Let Number be x

91-30% of x = x

910-3x=10x

X=70