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

percentage Important Formulas, Rules, Concepts & Shortcuts

Question : 6 [SSC CHSL 2013]

If a number is increased by 25% and the resulting number is decreased by 25%. then the percentage increase or decrease finally is

a) decreased by $6{1}/4$%

b) increased by 6%

c) increased by $6{1}/4$%

d) no change

Shortcut »

Answer: (a)

Using Rule 4,

Effective value = $(x + y +{xy}/100)$%

= $(25 - 25 - {25 × 25}/100)%$

[Here, x = 25, y = –25]

= –6.25% = $6{1}/4$% decreased

(Negative value shows decrease).

Question : 7

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

Shortcut »

Answer: (a)

Using Rule 7,

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

Increase = Rs.21

Question : 8 [SSC CGL Tier-II 2013]

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

a) 18

b) 81

c) 80

d) 45

Shortcut »

Answer: (c)

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

$x = {98 × 200}/245 = 80$

Question : 9 [SSC CAPFs SI 2014]

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

Shortcut »

Answer: (b)

Let the number be x.

(20 + 25)% of x = 36

${45x}/100 = 36$

$x = {36 × 100}/45$ = 80

Question : 10 [SSC CGL Prelim 2007]

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

Shortcut »

Answer: (c)

Using Rule 7,

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

= $(10 - 10 - {10 × 10}/100)$% = -1%

Negative sign shows decrease.

IMPORTANT quantitative aptitude EXERCISES

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