model 2 net increase or decrease in % 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 : The length of a rectangle is increased by 10% and breadth decreased by 10% Then the area of the new rectangle is

(a) increased by 1%

(b) decreased by 10%

(c) decreased by 1%

(d) neither decreased nor increased

The correct answers to the above question in:

Answer: (c)

Using Rule 7,

Net effect = $(x + y + {xy}/100)%$

= $(10 - 10 - {10 × 10}/100)$% = -1%

Negative sign shows decrease.

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Read more net increase or decrease Based Quantitative Aptitude Questions and Answers

Question : 1

The tax imposed on an article is decreased by 10% and its consumption increases by 10%. Find the percentage change in revenue from it.

a) 2% decrease

b) 11% increase

c) 1% decrease

d) 10% increase

Answer: (c)

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 $a^2/100$%

Special approach:

Required change = $(10)^2/100%$ decrease

= 1% decrease

Question : 2

When the price of cloth was reduced by 25%, the quantity of cloth sold increased by 20%. What was the effect on gross receipt of the shop?

a) 5% decrease

b) 10% decrease

c) 10% increase

d) 5% increase

Answer: (b)

Using Rule 5,

Required per cent effect = $(20 - 25 - {20 × 25}/100)%$

=(–5 – 5)% = – 10%

Negative sign shows decrease

Question : 3

A number is first increased by 10% and then it is further increased by 20%. The original number is increased altogether by

a) 15%

b) 36%

c) 32%

d) 30%

Answer: (c)

Using Rule 7,

Required percentage increase

= $(10 + 20 + {10 × 20}/100)%$= 32%

Question : 4

The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number.

a) 0.8

b) 80

c) 720

d) 7.2

Answer: (b)

Let the number be x.

(20 + 25)% of x = 36

${45x}/100 = 36$

$x = {36 × 100}/45$ = 80

Question : 5

A number increased by 22$1/2$% gives 98. The number is

a) 18

b) 81

c) 80

d) 45

Answer: (c)

If the number be x, then $x × 245/200 = 98$

$x = {98 × 200}/245 = 80$

Question : 6

The cost of an article worth Rs.100 is increased by 10% first and again increased by 10%. The total increase in rupees is

a) 21

b) 121

c) 110

d) 20

Answer: (a)

Using Rule 7,

Percentage effect = $(10 + 10 + {10 × 10}/100)$% = 21 %

Increase = Rs.21

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