model 6 consumption & remaining Practice Questions Answers Test with Solutions & More Shortcuts

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: (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: (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: (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: (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: (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

IMPORTANT quantitative aptitude EXERCISES

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