model 4 x & y comparison 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) 66$2/3$%
(b) 60%
(c) 65%
(d) 66$1/4$%
The correct answers to the above question in:
Answer: (a)
Required percent = $40/{100 - 40} × 100$
= ${40×100}/60 = 200/3 = 66{2}/3$%
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Read more comparing two terms Based Quantitative Aptitude Questions and Answers
Question : 1
If A's height is 10% more than B's height, by how much per cent less is B's height than that of A ?
a) 10$1/11$%
b) 10%
c) 9$1/11$%
d) 10$1/9$%
Answer »Answer: (c)
Using Rule 8,
If the first value is r % more than the second value, then the second is $[r/{100 + r}×100]$% less than the first value.
Here r = 10%.
Required percentage
= $10/110×100 = 100/11 = 9{1}/11$%
Question : 2
If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :
a) 140.55
b) 150
c) 123.75
d) 143
Answer »Answer: (c)
y is 10% more than 125
= $125×110/100 = 137.5= y$
and x is 10% less than y
$x = 90/100 × y = 90/100 × 137.5$
= 123.75
Question : 3
Which number is 40% less than 90 ?
a) 50
b) 36
c) 60
d) 54
Answer »Answer: (d)
Required number = 60% of 90 = ${90 × 60}/100$ = 54
Question : 4
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
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 : 6
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
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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