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

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on percentage topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

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

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

Practice percentage (model 5 income & expenditure) Online Quiz

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Read more income expenditure Based Quantitative Aptitude Questions and Answers

Question : 1

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 : 2

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 : 3

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 : 4

A's salary is 40% of B's salary and B's salary is 25% of C's salary. What percentage of C's salary is A's salary ?

a) 15%

b) 10%

c) 5%

d) 20%

Answer: (b)

Let B's salary = Rs.100

C's salary = Rs.400

and A's salary = Rs.40

Required percentage = $40/400 ×100$ = 10%

Question : 5

Income of A is 10% more than income of B. Let B's income be x% less than A's income. Find x.

a) 11%

b) 10$1/11$%

c) 9$1/11$%

d) 10%

Answer: (c)

Using Rule 8,

Simple method

x = $(10/{100 + 10} × 100)$%

= $(1000/110)% = (100/11)% = 9{1}/11%$

Note : If A is r% more than B, then B is

$(r/{100 + r} × 100)$% less than A

Question : 6

If the monthly salary of an employee is increased by 2$2/3$% , he gets 72 rupees more. His monthly salary (in rupees) is

a) 2700

b) 3600

c) 7200

d) 2000

Answer: (a)

Suppose monthly income = Rs.x

Then, $8/3$% of x = 72

x × $8/300$ = 72

${72× 300}/8$ = Rs.2700

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