model 11 percentage with ratios 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 : 21 [SSC CGL Prelim 2007]
The difference of two numbers is 15% of their sum. The ratio of the larger number to the smaller number is
a) 17 : 11
b) 23 : 11
c) 11 : 9
d) 23 : 17
Answer »Answer: (d)
Let the numbers be x and y where x > y.
Then, x - y =$15/100$(x + y)
x – y = $3/20$(x + y)
20x – 20y = 3x + 3y
20x – 3x = 20y + 3y
17x = 23y ⇒ $x/y = 23/17$
Question : 22 [SSC CPO S.I.2010]
If 30% of (B – A) = 18% of (B + A), then the ratio A : B is equal to
a) 5 : 4
b) 5 : 9
c) 1 : 4
d) 4 : 1
Answer »Answer: (c)
$(B – A) × 30/100 = (B + A) × 18/100$
${B - A}/{B + A} = 18/30 = 3/5$
By componendo and dividendo,
${2B}/{- 2A} = {3 + 5}/{3 - 5} = 8/{-2} = 4/{-1}$
$B/A = 4/1$ = A : B = 1 : 4
Question : 23 [SSC CPO S.I.2008]
The ratio of two numbers is 4:5 when the first is increased by 20% and the second is decreased by 20%, the ratio of the resulting numbers is
a) 5 : 6
b) 6 : 5
c) 5 : 4
d) 4 : 5
Answer »Answer: (b)
Let the numbers be 4x and 5x.
After corresponding increase or decrease,
Required ratio = ${4x} × 120/100 : {5x} × 80/100$
= 12x : 10x = 6 : 5
Question : 24
The ratio 5 : 4 expressed as a per cent equals :
a) 40%
b) 12.5%
c) 80%
d) 125%
Answer »Answer: (d)
5 : 4 when expressed as percent
= $5/4$ × 100 = 125%
Question : 25 [SSC SO 2003]
If A exceeds B by 40%, B is less than C by 20%, then A : C is :
a) 3 : 2
b) 3 : 1
c) 26 : 25
d) 28 : 25
Answer »Answer: (d)
Let B = 100
According to question,
A is 40% greater than B. ∴ A = 140
B is 20% less than C
⇒ 0.8C = 100∴ C = 125
∴ A : C = 140 : 125 = 28 : 25
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model 11 percentage with ratios 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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