model 5 income & expenditure Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on percentage topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

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

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Read more income expenditure Based Quantitative Aptitude Questions and Answers

Question : 1

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 : 2

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 : 3

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 = $25/125 ×100 = 20%$

Question : 4

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 : 5

If 60% of A's income is equal to 75% of B's income, then B's income is equal to x% of A's income. The value of x is :

a) 80

b) 60

c) 70

d) 90

Answer: (a)

Let A's income = Rs.a

and B's income = Rs.b

a × 60% = b × 75%

a × 4 = 5 × b

$b/a = 4/5$

Now, b = a × x%

$b/a = x/100 ⇒ x/100 = 4/5$

$x = 4/5×$ 100 = 80

Question : 6

A person gave 20% of his income to his elder son, 30% of the remaining to the younger son and 10% of the balance, he donated to a trust. He is left with Rs.10080. His income was :

a) Rs.30000

b) Rs.40000

c) Rs.50000

d) Rs.20000

Answer: (d)

Let income be Rs.100

Sum given to elder son = 20% of Rs.100 = Rs.20

Remaining Sum = Rs. 80

Sum given to younger son = 30% of Rs.80 = Rs.24

Remaining sum = Rs.(80 – 24) = Rs. 56

Sum given to the trust = 10% of Rs.56 = Rs.5.6

Remaining sum = Rs.(56 – 5.6) = Rs.50.4

When Rs.50.4 remains, total income = Rs.100

When Rs.10080 remains, total income = ${100 × 10080}/50.4$ = Rs.20000

Using Rule 20,

If a person saves ‘R' rupees after spending x% on food, y% on cloth and z% on entertainment of his income then,

Monthly income = $100/{100 - (x + y +z)}× R$

Here, R = Rs.10080; x = 20%, y = 30%, and z = 10%

Monthly income = $100/{100 – (20 +24 + 5.6)} ×10080$

= $1008000/{100 – 49.6} = 1008000/50.4 = 20,000$

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