model 6 consumption & remaining 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 : 11 [SSC CGL Tier-I 2011]
Price of sugar rises by 20%. By how much percent should the consumption of sugar be reduced so that the expenditure does not change?
a) 15%
b) 10%
c) 20%
d) 16$2/3$%
Answer »Answer: (d)
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
$(A/{(100 + A)}×100)$%
Smart approach
Required percentage decrease
= $\text"Increase"/\text"100 + Increase" × 100$
= $20/{100 + 20} × 100$
= $100/6 = 16{2}/3%$
Question : 12 [SSC CGL Tier-1 2011]
Price of a commodity has increased by 60%. By what per cent must a consumer reduce the consumption of the commodity so as not to increase the expenditure ?
a) 60%
b) 37.5%
c) 37%
d) 40.5%
Answer »Answer: (b)
If the reduction in consumption be x%, then
$60 - x - {60x}/100 = 0$
$60 - x - {3x}/5 = 0$
300 – 5x – 3x = 0
8x = 300 ⇒ x = $300/8 = 37.5%$
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 = $60/160 × 100%$
= $300/8 = 75/2 = 37.5%$
Question : 13 [SSC CGL Prelim 2000]
If food prices go up by 10%, by how much should a man reduce his consumption so as not to increase his expenditure?
a) The data is not sufficient
b) 10%
c) 9$1/11$%
d) 11$1/9$%
Answer »Answer: (c)
Using Rule 8,
Required answer
= $10/{(100 +10)} × 100$
= $10/110 × 100 = 100/11% = 9{1}/11%$
Question : 14 [SSC CPO S.I.2008]
If the duty on an article is reduced by 40% of its present rate, by how much per cent must its consumption increase in order that the revenue remains unaltered ?
a) 66$2/3$%
b) 62$1/3$%
c) 60%
d) 72%
Answer »Answer: (a)
Using Rule 9,
If ‘x' is A% less than ‘y', then y is more than ‘x' by
Required% = $(A/(100 - A)× 100)%$(increase)
Required increase percent
= $40/{100 - 40} × 100$
= $40/60 × 100 = 200/3 = 66{2}/3$%
Question : 15 [SSC CPO S.I.2007]
If the price of a commodity is decreased by 20% and its consumption is increased by 20%, what will be the increase or decrease in the expenditure on the commodity ?
a) 8% increase
b) 4% decrease
c) 4% increase
d) 8% decrease
Answer »Answer: (b)
Let the CP of each article
=Rs.100 and consumption = 100 units
Initial expenditure
= Rs. (100 × 100) = Rs.10000
New price of article = Rs.80
Consumption = 120 units
Expenditure = Rs.(120 × 80) = Rs.9600
Decrease = Rs.(10000 – 9600) = Rs.400
Percentage decrease = ${400 × 100}/10000$ = 4%
Using Rule 3,
If an amount is increased by a% and then it is reduced by a% again, then the percentage change will be a decrease of $a^2/100%$
Required percentage decrease
= $20^2/100%$ = 4% decreases
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model 6 consumption & remaining Shortcuts »
Click to Read...model 6 consumption & remaining 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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