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Percentage - Aptitude Questions and Answers - RejinpaulPlacement

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1.
Express each of the following as a fraction:
(i) 56%
(ii) 4%
(iii) 0.6%
Answer & Solution
Answer: b) 14/25, 1/25, 3/500

Solution:   (i) 56% = 56/100 = 14/25

(ii) 4% = 4/100 = 1/25

(iii) 0.6 = 0.6/100 = 6/1000 = 3/500
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2.
Express each of the following as a decimal :
(i) 6%
(ii) 28%
(iii) 0.2%
(iv) 0.04%
Answer & Solution
Answer: c) 0.06, 0.28, 0.002, 0.0004

Solution:   (i) 6% = 6/100 = 0.06

(ii) 28% = 28/100 = 0.28

(iii) 0.2% = 0.2/100 = 0.002

(iv) 0.04% = 0.04/100 = 0.0004
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3.
Express each of the following as rate-percent :
(i) 23/36
(ii) 6   3/4
(iii) 0.004
Answer & Solution
Answer: b) 63   8/9%, 675%, 0.4%
Solution:   (i) 23/36 = [(23/36) * 100] % (579/9) % = 63   8/9 %

(ii) 6   3/4 = 27/4 = [(27/4) * 100] % = 675%

(iii) 0.004 = 4/1000 = [(4/1000) * 100] % = 0.4%
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4.
Evaluate
(i) 28% of 450 + 45% of 280 [Bank P.O. 2003]
(ii) 16   2/3 % of 600 gm - 33   1/3% of 180 gm [R.R.B. 1998]
Answer & Solution
Answer: d) 252, 40 gm

Solution:   (i) 28% of 450 + 45% of 280
= [(28/100) * 450 + (45/100) * 280] = 126 + 126 = 252

(ii) 16   2/3% of 600 gm - 33   1/3% of 180 gm
= [{(50/3) (1/100) * 600} - {(100/3) * (1/100) * 180}] gm
= (100 - 60) gm = 40 gm
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5.
(i) 2 is what percent of 50? [S.S.C. 2000]
(ii) 1/2 is what percent of 1/3 ? [S.S.C. 2002]
(iii) What percent of 7 is 84?
(iv) What percent of 2 metric tonnes is 40 quintals?
(v) What percent of 6.5 litres is 130 ml?
Answer & Solution
Answer: b) 4%, 150%, 1200%, 200%, 2%

Solution:   (i) Required percentage = [(2/50) * 100] = 4%

(ii) Required percentage = [(1/2) * (3/1) * 100] % = 150%

(iii) Required percentage = [(84/7) * 100] % = 1200%

(iv) 1 metric tonne = 10 quintals.
Required percentage = [{40/(2 * 10)} * 100] % = 200 %

(v) Required percentage = [{130/(6.5 * 1000)} * 100] % = 2%
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6.
Find the missing figures :
(i) ? % of 25 = 2.125
(ii) 9% of ? = 6.3
(iii) 0.25% of ? = 0.04
Answer & Solution
Answer: b) 8.5%, 70, 16

Solution:   Let x% of 25 = 2.125
Then, (x/100) * 25 = 2.125
=> x = (2.125 * 4) = 8.5%

(ii) Let 9% of x = 6.3
Then, (9x/100) = 6.3
=> x = [(6.3 * 100)/9] = 70

(iii) Let 0.25% of x = 0.04
Then, 0.25x/100 = 0.04
=> x = [(0.04 * 100)/0.25] = 16
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7.
Which is the greatest in 16   2/3%, 2/15 and 0.17 ?
Answer & Solution
Answer: c) 0.17

Solution:   16   2/3% = [(50/3) * (1/100)] = 1/6 = 0.166

2/15 = 0.133

Clearly, 0.17 is the greatest.
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