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 who spends 66$2/3$% of his income is able to save Rs.1,200 per month. His monthly expenses (in Rs.) is :

(a) 3,000

(b) 2,400

(c) 1,200

(d) 3,200

The correct answers to the above question in:

Answer: (b)

Savings = 100% - 66$2/3$%

= 33$1/3$% Since, 33$1/3$% ≡ Rs.1200

100% ≡ $1200/100 ×3 × 100$ = Rs.3600

Expenses = 3600 - 1200 = Rs.2400

Aliter : 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.1200; x = 66$2/3$%

Monthly income = $100/{100 - 66{2}/3} × 1200$

= $100/{100 - 200/3} × 1200$

= $300/100 × 1200$ = Rs.3600

Expenses = Income – savings = 3600 – 1200 = 2400

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Read more income expenditure Based Quantitative Aptitude Questions and Answers

Question : 1

If A's income is 40% less than that of B, how much percent B's income is more than that of A?

a) 66.66%

b) 40%

c) 60%

d) 33.33%

Answer: (a)

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 = $x/{100 - x} × 100$

= $40/60 × 100 = 200/3$= 66.66%

Question : 2

A man spends 12$1/2$% of his salary on items of daily use and 30% of the remainder on house rent. After that he is left with Rs.2940. How much is his salary ?

a) Rs.4500

b) Rs.5200

c) Rs.4800

d) Rs.4000

Answer: (c)

Let man's salary be Rs.x.

His expenditure on items of daily use

= $25/2% of x ={25×x}/200 = x/8$

So, remaining amount

=$ x - x/8 = Rs.{7x}/8$

Expenditure on house rent

= 30% of Rs.${7x}/8$

$30/100 × {7x}/8 = Rs.{21x}/80$

Now, remaining amount = ${7x}/8 - {21x}/80$

= ${70x - 21x}/80 = Rs.{49x}/80$

According to the question,

${49x}/80 = 2940$

x =${2940 × 80}/49$ = Rs.4800

Aliter : Using Rule 20,

His salary = ${100 × 2940}/{100 – (25/2 + 26.25)}$

= ${100 × 2940}/{100 – (12.5+ 26.25)}$

= $294000/61.25$ = Rs.4800

Question : 3

If Nita's salary is 25 per cent more than Papiya's salary, then the percentage by which Papiya's salary is less than Nita's salary is

a) 25%

b) 20%

c) 15%

d) 32%

Answer: (b)

Using Rule 8,

If the income of a man is A% more than another man, then income of another man is less in comparison to the 1st man by

$(A/(100 + A)× 100)%$

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

$25/125 × 100$ = 20%

Question : 4

A man spends 75% of his income. His income increased by 20% and he increased his expenditure by 15%. His savings will then be increased by

a) 35%

b) 33$1/3$%

c) 33%

d) 40%

Answer: (a)

Let man's income = Rs.100

Savings = 100 – 75 = Rs.25

New income = Rs.120

Savings = $120 - {75 × 115}/100 = 120 - 345/4$

= ${480 – 345}/4 = Rs.135/4$

Increase in savings =$135/4 - 25 = Rs.35/4$

Percentage increase = ${35/4}/25 × 100 = 35%$

Question : 5

If the total monthly income of 16 persons is Rs.80,800 and the income of one of them is 120% of the average income, then his income is

a) Rs.6,160

b) Rs.6,060

c) Rs.5,050

d) Rs.6,600

Answer: (b)

Let the required income be Rs.x Average monthly income

= Rs.$(80800/16)$ = Rs.5050

x = 120% of 5050

= Rs.$(120/100 × 5050)$ = Rs.6060

Question : 6

X's income is 20% more than that of Y. What per cent is Y's income less than X ?

a) 83$2/3$%

b) 16$2/3$%

c) 83$1/3$%

d) 16$1/3$%

Answer: (b)

Using Rule 8,

Required percentage = $20/{100 + 20} × 100$

= $50/3 =16{2}/3%$

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GET percentage PRACTICE TEST EXERCISES

model 1 simple percentage questions

model 2 net increase or decrease in %

model 3 reducing & exceeding prices

model 4 x & y comparison

model 5 income & expenditure

model 6 consumption & remaining

model 7 marks scored in examinations

Model 8 population based

model 9 voters & election

model 10 percentage with allegations & mixture

model 11 percentage with ratios
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