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 : 1 [SSC CGL Tier-I 2010]
If 60% of A = $3/4$ of B, then A : B is
a) 4 : 5
b) 5 : 4
c) 20 : 9
d) 9 : 20
Answer »Answer: (b)
${A × 60}/100 = B × 3/4$
A × $3/5 = B × 3/4$
$A/B = 3/4 × 5/3$ = 5 : 4
Question : 2 [SSC CGL 2013]
The prices of a school bag and a shoe are in the ratio 7 : 5. The price of a school bag is Rs.200 more than the price of a shoe. Then the price of a shoe is
a) Rs.500
b) Rs.1,200
c) Rs.700
d) Rs.200
Answer »Answer: (a)
7x – 5x = 200
2x = 200 ⇒ x = 100
Price of a pair of shoes
= 5x = 5 × 100 = Rs.500
Question : 3 [SSC DEO 2009]
The ratio of the number of boys and girls in a college is 3 : 2. If 20% of boys and 25% of girls are adults, the percentage of those students who are not adults, is
a) 78%
b) 82.5%
c) 67.5%
d) 58%
Answer »Answer: (a)
Let the number of boys and girls in the college be 3x and 2x respectively.
Number of minor boys = $3x × 80/100 = {12x}/5$
Number of minor girls = $2x × 75/100 = {3x}/2$
Total number of minor students = ${12x}/5 + {3x}/2$
= ${24x + 15x}/10 = {39x}/10 $
Required percentage = ${39x}/{10 × 5x} × 100$ = 78%
(As total students = 3x + 2x)
Question : 4 [SSC CHSL 2011]
When 60% of a number is subtracted from another number, the second number reduces to its 52%; the ratio of the first number to the second number is :
a) 5: 4
b) 4: 5
c) 5: 3
d) 6: 5
Answer »Answer: (b)
Let the first number be x and second number be y.
y - ${60x}/100 = {52y}/100$
100y – 60x = 52y
48y = 60x
$x/y = 48/60 = 4/5$ or 4 : 5
Question : 5
If 15% of x is same as 20 % of y then x : y is
a) 6 : 5
b) 3 : 4
c) 5 : 4
d) 4 : 3
Answer »Answer: (d)
$x × 15/100 = y × 20/100$
x × 15 = y × 20
$x/y = 20/15 = 4/3$ = 4 : 3
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model 11 percentage with ratios Shortcuts »
Click to Read...model 11 percentage with ratios Online Quiz
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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