model 6 consumption & remaining Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on percentage topic of quantitative aptitude

Questions : Price of milk has increased by 20%. To keep the expenditure unchanged, the present consumption is to be reduced by :

(a) 16$2/3$%

(b) 18%

(c) 20%

(d) 10%

The correct answers to the above question in:

Answer: (a)

Using Rule 8,

Required percentage decrease

= $20/{100 + 20} × 100$

= $50/3 = 16{2}/3$%

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Read more consumption remaining Based Quantitative Aptitude Questions and Answers

Question : 1

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 : 2

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 : 3

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 : 4

If the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is

a) 15$1/3$%

b) 16$2/3$%

c) 16$1/3$%

d) 15$2/3$%

Answer: (b)

Using Rule 8,

Percentage decrease in the consumption of petrol

= $(20/{100 + 20} × 100)$%

= $50/3 = 16{2}/3$%

Question : 5

The price of a commodity rises from 6 per kg to 7.50 per kg. If the expenditure cannot increase, the percentage of reduction in consumption is

a) 30%

b) 20%

c) 15%

d) 25%

Answer: (b)

Using Rule 2,

If x is increased to $x_1$ , then, Increment% = ${x_1 - x}/x ×$100

Percentage increase

= ${7.50 - 6}/6 × 100 = 25%$

Percentage decrease in consumption

= $25/125 × 100 = 20%$

Question : 6

In the new budget, the price of kerosene oil rose by 25%. By how much per cent must a person reduce his consumption of kerosene oil so that his expenditure on it does not increase ?

a) 40%

b) 25%

c) 20%

d) 50%

Answer: (c)

Using Rule 8,

Required reduction in consumption

= $\text"x"/\text"100 + x" × 100$% where x = 25

= $25/{100 + 25} × 100 = 20$%

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