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 : 31 [SSC CGL Prelim 2004]
The number of employees working in a farm is increased by 25% and the wages per head are decreased by 25%. If it results in x % decrease in total wages, then the value of x is
a) 25%
b) $25/4$%
c) 20%
d) 0%
Answer »Answer: (b)
Let the original number of employees be 100 and wages per head be Rs.100.
Total wages = Rs.(100 × 100) = Rs.10000
New number of employees = 125
New wages per head = Rs.75
Total new wages = Rs.(125 × 75) = Rs.9375
Decrease = Rs.(10000 – 9375) = Rs.625
Percentage decrease =$625/10000 × 100$
=$625/100 = 25/4%$
Question : 32 [SSC CGL 2000]
The price of an article is decreased by 10%. To restore its former value the new price must be increased by :
a) 11%
b) 11$1/9$%
c) 9$1/11$%
d) 10%
Answer »Answer: (b)
Let the original price be Rs.100
New price after 10% decrease = Rs.90
In order to restore the price to its original value, it must be increased by Rs.10
% increase = $10/90 × 100 = 100/9 = 11{1}/9%$
Using Rule 9,
If ‘x' is A% less than ‘y', then y is more than ‘x' by Required% = $(A/{(100 - A)} × 100)%$(increase)
Required % = $10/{100 - 10} × 100%$
= $100/9% = 11{1}/9$%
Question : 33 [SSC CGL Tier-I 2013]
The price of an article is first decreased by 20% and then increased by 30%. If the resulting price is Rs.416, the original price of the article is
a) Rs.405
b) Rs.450
c) Rs.400
d) Rs.350
Answer »Answer: (c)
If the original price of article be Rs.x, then
$x × 80/100 × 130/100$ = 416
$x = {416 × 100 × 100}/{80 × 130}$= Rs.400
Using Rule 5,
Let the number be x
The number increases by
$(- 20 + 30 - {20 × 30}/100)$% = 4%
$x + {4x}/100$ = 416
${104x}/100$ = 416 ⇒ x = 400
Question : 34 [SSC CGL Tier-I 2010]
The price of an article was first increased by 10% and then again by 20%. If the last increased price be Rs.33, the original price was
a) Rs.27.50
b) Rs.25
c) Rs.26.50
d) Rs.30
Answer »Answer: (b)
Using Rule 7,
Simple Approach
Effective increase percentage
= $(10 + 20 + {20 × 10}/100)%$ = 32%
$x × 132/100 = 33$
$x = {33 × 100}/132$ = Rs.25
Question : 35 [SSC CAPFs SI 2015]
A number is increased by x %; to get back to the original number, it is to be reduced by
a) ${100x}/{100 + x}$%
b) $x/{100 + x}$%
c) ${10x}/{100 + x}$%
d) x %
Answer »Answer: (a)
Initial value → increasing value
${P × x}/100$ → increased value → P + ${Px}/100$
= $P({100 + x}/100)$
Required answer = $(x/{100 + x} × 100)%$
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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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