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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

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

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%

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

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%

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

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.