model 1 simple percentage questions 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 CPO S.I 2005]
In a school 40% of the students play football and 50% play cricket. If 18% of the students neither play football nor cricket, the percentage of the students playing both is :
a) 22%
b) 8%
c) 40%
d) 32%
Answer »Answer: (b)
Since 18% of the students neither play football nor cricket. It means 82% of the students either play football or cricket or both.
Using set theory
n(A ? B) = n(A) + n(B) – n(A ? B)
82 = 40 + 50 – n(A ? B)
n(A ? B) = 90 – 82 = 8
8% students play both games.
Question : 2 [SSC CAPFs SI 2013]
In a big garden 60% of the trees are coconut trees, 25% of the number of coconut trees are mango trees and 20% of the number of mango trees are apple trees. If the number of apple trees are 1500, then the number of trees in the garden is :
a) 51000
b) 45000
c) 48000
d) 50000
Answer »Answer: (d)
If the number of trees in the garden be x, then
$x × 60/100 × 25/100 × 20/100 = 1500$
$x × 3/5 × 1/4 × 1/5 = 1500$
$x = {1500 × 5 × 4 × 5}/3$
= 50000
Question : 3
Half of 1 per cent, written as a decimal, is
a) 0.005
b) 0.05
c) 0.2
d) 0.02
Answer »Answer: (a)
1% = $1/100$
$1/100 × 1/2 = 1/200 = 0.005$
Question : 4
If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B?
a) 70%
b) 75%
c) 30%
d) 40%
Answer »Answer: (b)
$A × 30/100 + {B × 40}/100 = {B × 80}/100$
A × 30 = B × 40
$A/B = 40/30 = 4/3$
$B/A = 3/4$
$B/A × 100 = 3/4$ × 100 = 75%
Question : 5 [SSC CHSL 2012]
A number is divided into two parts in such a way that 80% of 1st part is 3 more than 60% of 2nd part and 80% of 2nd part is 6 more than 90% of the 1st part. Then the number is
a) 135
b) 145
c) 125
d) 130
Answer »Answer: (a)
First part =Rs.x and second part = Rs.y.
${x × 80}/100 = {y × 60}/100 +3$
${4x}/5 = {3y}/5 +3$
4x – 3y = 15 ...(i)
Again, ${4y}/5 = {9x}/10 + 6$
8y = 9x + 60
8y – 9x = 60 ...(ii)
By equation (i) × 8 + (ii) × 3,
32x – 24y = 120
24y – 27x = 180
By adding the above two equation.We get,
5x = 300 ⇒ x = 60
From equation (i)
4 × 60  3y = 15
3y = 240 – 15 = 225
y = $225/3$ = 75
x + y = 60 + 75 = 135
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percentage Shortcuts and Techniques with Examples

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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