model 5 income & expenditure Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21

The income of C is 20% more than B's and the income of B is 25% more than A's. Find by how much per cent is C's income more than A's ?

a) 25%

b) 50%

c) 150%

d) 35%

Answer: (b)

Suppose income of A = Rs.100

Income of B = Rs.125

Income of C = Rs.150

Required percentage = ${50 × 100}/100$ = 50%

Question : 22 [SSC CGL Prelim 2002]

If the income of Ram is 12$1/2$% more than that of Shyam, the income of Shyam is less than that of Ram by

a) 87$1/2$%

b) 13$1/2$%

c) 11$1/9$%

d) 88$1/9$%

Answer: (c)

Using Rule 8,

Tricky approach

Required %= ${R ×100}/{100 ±R}$

Required % =${12.5 × 100}/{100 + 12.5}$

= $1250/112.5 = 100/9 = 11{1}/9$

Question : 23 [SSC CPO S.I.2004]

A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of

a) 22.5%

b) 25.0%

c) 27.5%

d) 20.0%

Answer: (b)

Using Rule 9,

If 'x' is A% less than 'y', then y is more than 'x' by

Required% = $(A/(100 - A)× 100)%$(increase)

Required percentage of increase = $r/{100 – r}× 100$

= $20/{100 – 20}× 100$

= $20/80×100$ = 25%

Question : 24

The allowances of an empolyee constitutes 165% of his basic pay. If he receives Rs.11925 as gross salary, then his basic pay is (in Rs.) :

a) 4500

b) 5000

c) 4000

d) 5500

Answer: (a)

Basic pay of the employee

= $11925 × 100/265$ = Rs.4500

Question : 25 [SSC CPO S.I.2009]

Tulsiram's salary is 20% more than that of Kashyap. If Tulsiram saves Rs.720 which is 4% of his salary, then Kashyap's salary is

a) Rs.10,000

b) Rs.12,000

c) Rs.15,000

d) Rs.22,000

Answer: (c)

Let Tulsiram's salary be Rs.x.

${x × 4}/100 =720$

x = ${720 × 100}/4$= Rs.18000

Kashyap's salary = Rs.$(100/120 × 18000)$ = Rs.15000

IMPORTANT quantitative aptitude EXERCISES

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