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.2400
(b) Rs.3000
(c) Rs.3600
(d) Rs.1800
The correct answers to the above question in:
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
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Read more income expenditure Based Quantitative Aptitude Questions and Answers
Question : 1
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 »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 : 2
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 »Answer: (a)
Using Rule 9,
Shortcut method
Required percentage = $25/{100 - 25}×100$
= $100/3 = 33{1}/3%$
Question : 3
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 »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 : 4
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 »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 : 5
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 »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 = $100/{100 – (20 +24 + 5.6)} ×10080$
= $1008000/{100 – 49.6} = 1008000/50.4 = 20,000$
Question : 6
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 »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%
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
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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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