model 5 income & expenditure Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on percentage topic of quantitative aptitude
(a) Rs.4500
(b) Rs.5200
(c) Rs.4800
(d) Rs.4000
The correct answers to the above question in:
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
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Read more income expenditure Based Quantitative Aptitude Questions and Answers
Question : 1
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 »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 : 2
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 »Answer: (a)
Suppose monthly income = Rs.x
Then, $8/3$% of x = 72
x × $8/300$ = 72
${72× 300}/8$ = Rs.2700
Question : 3
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 »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 : 4
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 »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 : 5
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
Answer »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
Question : 6
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 »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 = ${35/4}/25 × 100 = 35%$
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
percentage Shortcuts and Techniques with Examples
-
model 1 simple percentage questions
Defination & Shortcuts … -
model 2 net increase or decrease in %
Defination & Shortcuts … -
model 3 reducing & exceeding prices
Defination & Shortcuts … -
model 4 x & y comparison
Defination & Shortcuts … -
model 5 income & expenditure
Defination & Shortcuts … -
model 6 consumption & remaining
Defination & Shortcuts … -
model 7 marks scored in examinations
Defination & Shortcuts … -
Model 8 population based
Defination & Shortcuts … -
model 9 voters & election
Defination & Shortcuts … -
model 10 percentage with allegations & mixture
Defination & Shortcuts … -
model 11 percentage with ratios
Defination & Shortcuts …
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