model 2 net increase or decrease in % 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 CHSL 2012]
A number is increased by 10% and then it is decreased by 10%. The net change in the number is
a) 2% decrease
b) 1% decrease
c) 1% increase
d) no increase or decrease
Answer »Answer: (b)
Using Rule 4,
Net change
= $(10 - 10 - {10 × 10}/100)%$
= –1% = 1% decrease
Question : 22 [SSC CGL Prelim 2003]
If price of a book is first decreased by 25% and then increased by 20%, the net change in the price of the book will be
a) 5% decrease
b) 5% increase
c) no change
d) 10% decrease
Answer »Answer: (d)
The net change in price
= $(-25 +20 - {25 × 20}/100)$
= (–25 + 20 – 5)% = – 10%
Negative sign shows decrease.
Question : 23
Two successive price increases of 10% and 10% of an article are equivalent to a single price increase of
a) 20%
b) 22%
c) 21%
d) 19%
Answer »Answer: (c)
Using Rule 7,
If a number is first increased by a% and then again increased by b%, then total increase per cent is $(a + b + {ab}/100)$%
Tricky approach
Single equivalent percentage increase in price
= $(10 + 10 + {10 × 10}/100)%$ = 21 %
Question : 24 [SSC SAS 2010]
If a number is increased by 20% and the resulting number is again increased by 20%, what per cent is the total increase ?
a) 44%
b) 40%
c) 41%
d) 48%
Answer »Answer: (a)
Using Rule 7,
Effective percentage increase
= $(20 + 20 + {20 × 20}/100)%$= 44%
Question : 25 [SSC CHSL 2014]
A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is
a) 400
b) 600
c) 500
d) 200
Answer »Answer: (c)
Effective percentage = $(-20 + 20 - {20 × 20}/100)$= - 4%
If the number be x, then 4% of x = 20
$x × 4/100 = 20$
$x = {20 × 100}/4 = 500$
Using Rule 3,
If an amount is increased by a% and then it is reduced by a% again, then percentage change will be a decrease of $a^2/100%$
Let the number be x
Decrease % = $20^2/100$ = 4%
x – 4% of x = x – 20
${4x}/100 = + 20 ⇒ x = 500$
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model 2 net increase or decrease in % 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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