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 : 26 [SSC CGL Tier-II 2015]
If 50% of x = 30% y, then x : y is
a) 3 : 2
b) 3 : 5
c) 5 : 3
d) 2 : 3
Answer »Answer: (b)
50% of x = 30% of y
${x × 50}/100 = {y × 30}/100$
$x/y = 30/50 = 3/5$ = 3 : 5
Question : 27 [SSC CGL 2005]
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
a) 4 : 5
b) 6 : 7
c) 3 : 5
d) 2 : 5
Answer »Answer: (a)
Let the third number be 100.
First number = 120; Second number = 150
Required ratio = $120/150$
= $4/5$ or 4 : 5
Question : 28
The bus fare and train fare of a place from Kolkata were Rs.20 and Rs.30 respectively. Train fare has been increased by 20% and the bus fare has been increased by 10%. The ratio of new train fare to new bus fare is
a) 5 : 3
b) 3 : 5
c) 18 : 11
d) 11 : 18
Answer »Answer: (c)
Increased train fare = Rs.$(120/100 × 30)$= Rs.36
Increased bus fare = Rs.$(110/100 × 20)$ = Rs.22
Required ratio = 36 : 22 = 18 : 11
Question : 29 [SSC CGL Tier-II 2016]
The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is
a) 70
b) 80
c) 78
d) 56
Answer »Answer: (c)
Let the number of students in school be 100.
Boys ⇒ 60 Girls ⇒ 40
Students who do not hold scholarship :
Boys ⇒ ${60 × 80}/100$ = 48 Girls ⇒ ${40 × 75}/100$ = 30
Required answer = 48 + 30 = 78 i.e., 78%
Question : 30 [SSC MTS 2013]
The difference of two numbers is 45% of their sum. The ratio of the larger number to the smaller number is
a) 29 : 11
b) 11 : 29
c) 9 : 20
d) 20 : 9
Answer »Answer: (a)
Let the numbers be x and y and x is greater than y.
Then x – y = 45% of (x + y)
x – y = $45/100(x + y)$
x – y = $9/20(x + y)$
20x – 20y = 9x + 9y
20x – 9x = 20y + 9y
11x = 29y
$x/y = 29/11$ or 29 : 11
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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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