model 4 x & y comparison Practice Questions Answers Test with Solutions & More Shortcuts
percentage PRACTICE TEST [11 - 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
Question : 1
A's salary is 50% more than that of B. Then B's salary is less than that of A by
a) 33$1/4$%
b) 50%
c) 44$1/2$%
d) 33$1/3$%
Answer »Answer: (d)
Required percent = $(r/{100 + r} × 100)$%
= $50/{100 + 50}× 100 = 100/3 = 33{1}/3$%
Question : 2 [SSC SAS 2010]
Two numbers are less than a third number by 30% and 37% respectively. The per cent by which the second number is less than the first is
a) 4%
b) 10%
c) 3%
d) 7%
Answer »Answer: (b)
Third number = 100
First number = 70
Second number = 63
Required percentage = $7/70 × 100$ = 10
Question : 3 [SSC CPO S.I.2003]
Two numbers are respectively 12$1/2$% and 25% more than a third number. The first number as percentage of second number is
a) 75
b) 50
c) 90
d) 60
Answer »Answer: (c)
If the third number is 100, then the numbers are $100 + 25/2 = 225/2$ and 125 respectively.
First number as a percentage of the second = $225/{2×125}×100$ = 90
Using Rule 30,
If two numbers are respectively x% and y% more than a third number the first as a per cent of second is ${100 + x}/{100 + y}$ ×100%
Question : 4 [SSC MTS 2013]
A number when reduced by 10% gives 30. The number is
a) 40
b) 33$1/2$
c) 35
d) 33$1/3$
Answer »Answer: (d)
Let the number be x
then, $x × 90/100 = 30$
$x = 3000/90 = 100/3= 33{1}/3$
Question : 5
If the salary of Manoj is 40% less than that of Subhash, then by how much percentage is the salary of Subhash more than that of Manoj?
a) 66$2/3$%
b) 60%
c) 65%
d) 66$1/4$%
Answer »Answer: (a)
Required percent = $40/{100 - 40} × 100$
= ${40×100}/60 = 200/3 = 66{2}/3$%
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model 4 x & y comparison Shortcuts »
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Click to Start..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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