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

Question : 16 [SSC CGL Prelim 2005]

Given that 10% of A's income = 15% of B's income = 20% of C's income. If sum of their income is Rs.7800, then B's income is:

a) Rs.2400

b) Rs.3000

c) Rs.3600

d) Rs.1800

Answer: (a)

10% of A = 15% of B = 20% of C

10A = 15B = 20C

${10A}/60 = {15B}/60 = {20C}/60$

$A/6 = B/4 = C/3$

A : B : C = 6 : 4 : 3

6x + 4x + 3x = 7800

13 x = 7800

x = $7800/13$ = 600

B's income = 4x = 600 × 4 = Rs.2400

Question : 17 [SSC DEO 2008]

A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves Rs.4,500 per month, which is equal to half the balance after spending on food and transport, his monthly salary is

a) Rs.25,000

b) Rs.22,500

c) Rs.11,250

d) Rs.45,000

Answer: (b)

Suppose monthly income of the man is Rs. x.

Expenditure on food = 40% of x = Rs.${2x}/5$

Remaining amount = x - ${2x}/5= Rs.{3x}/5$

Expenditure on transport = $1/3 × {3x}/5 = Rs.x/5$

Remaining amount = ${3x}/5 - x/5 = {2x}/5$

According to question $1/2 × {2x}/5 = 4500$

x = 4500 × 5 = Rs.22,500

Question : 18 [SSC CGL Tier-I 2010]

If A's income is 25% less than B's income, by how much percent is B's income more than that of A ?

a) 33$1/3$%

b) 30%

c) 25%

d) 66$2/3$%

Answer: (a)

Using Rule 9,

Shortcut method

Required percentage = $25/{100 - 25}×100$

= $100/3 = 33{1}/3%$

Question : 19 [SSC SO 2005]

The monthly income of a person was Rs.13,500 and his monthly expenditure was Rs.9,000. Next year his income increased by 14% and his expenditure increased by 7%. The per cent increase in his savings was

a) 28%

b) 21%

c) 7%

d) 35%

Answer: (a)

Original savings = Rs.(13500 – 9000) = Rs.4500

New income = 114% of Rs.13500 = Rs.(114 × 135) = Rs.15390

New expenditure = 107% of Rs.9000 = Rs.(107 × 90) = Rs.9630

New savings = Rs.(15390 – 9630) = Rs.5760

Percentage increase in savings = ${5760 – 4500}/4500$ × 100

= $1260/45$ = 28%

Question : 20

A's salary is 25% more than B's salary. B's salary is how much less than A's salary ?

a) 25 %

b) 24 %

c) 20 %

d) 27.5 %

Answer: (c)

Using Rule 8,

Required percentage = $25/125 ×100 = 20%$

IMPORTANT quantitative aptitude EXERCISES

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