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 : 31
The price of sugar is increased by 20%. If the expenditure on sugar has to be kept the same as earlier, the ratio between the reduction in consumption and the original consumption is
a) 1 : 6
b) 1 : 5
c) 1 : 4
d) 1 : 3
Answer »Answer: (a)
The raised price = $120/100$ of the former price
The householder must now consume $100/120$ of the original amount
The reduction in consumption = $(1 – 100/120)$ of the original consumption = $1/6$ of the original consumption
i.e. 1 : 6
Using Rule 8,
If the income of a man is A% more than another man, then income of another man is less in comparison to the 1st man by
$(A/(100 + A)× 100)%$
Required percentage = $(20/{100 + 20})×100$
= $20/120×100$ = $100/6$%
Required ratio = 1 : 6
Question : 32 [SSC CAPFs 2015]
The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appreared in the examination to that not appeared in the same examination is
a) 1 : 1
b) 27 : 23
c) 23 : 27
d) 9 : 14
Answer »Answer: (c)
Boys in the village = 3x
Girls in the village = 2x
Villagers who appeared in the examination
= ${3x × 30}/100 + {2x × 70}/100$
= ${9x}/10 + {14x}/10 = {23x}/10$
Villagers who did not appear in the examination
= ${3x × 70}/100 + {2x × 30}/100$
= ${21x}/10 + {6x}/10 = {27x}/10$
Required ratio = ${23x}/10 : {27x}/10$ = 23 : 27
Question : 33 [SSC SO2003]
Two numbers are in the ratio 2 : 3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is
a) 180
b) 200
c) 160
d) 100
Answer »Answer: (d)
Let the numbers be 2x and 3x.
According to the question,$(20/100 × 2x) + 20$
= $(10/100 × 3x) + 25$
${2x}/5 + 20 = {3x}/10 + 25$
${2x}/5 - {3x}/10$ = 25 - 20
${4x - 3x}/10$ = 5 ⇒ x = 50
The smaller number = 2x = 100
Question : 34 [SSC CGL Prelim 2004]
If 30% of A = 0.25 of B = $1/5$ of C, then A : B : C is equal to :
a) 6 : 5 : 4
b) 10 : 12 : 15
c) 5 : 24 : 5
d) 5 : 6 : 4
Answer »Answer: (b)
30% of A = 25% of B
30 A = 25 B
A : B = 25 : 30 = 5 : 6
Again, 25% of B = 20% of C
25 B = 20C ⇒ 5B = 4C
B : C = 4 : 5
A : B : C = 5 × 4 : 4 × 6 : 6 × 5
= 20 : 24 : 30 = 10 : 12 : 15
Question : 35
If 35% of A's income is equal to 25% of B's income, then the ratio of A's income to B's income is
a) 4 : 7
b) 4 : 3
c) 5 : 7
d) 7 : 5
Answer »Answer: (c)
According to the question, A × 35% = B × 25%
$A/B = 25/35 = 5/7$
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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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