model 2 net increase or decrease in % Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CHSL 2012]

A number is increased by 10% and then it is decreased by 10%. The net change in the number is

a) 2% decrease

b) 1% decrease

c) 1% increase

d) no increase or decrease

Answer: (b)

Using Rule 4,

Net change

= $(10 - 10 - {10 × 10}/100)%$

= –1% = 1% decrease

Question : 22 [SSC CGL Prelim 2003]

If price of a book is first decreased by 25% and then increased by 20%, the net change in the price of the book will be

a) 5% decrease

b) 5% increase

c) no change

d) 10% decrease

Answer: (d)

The net change in price

= $(-25 +20 - {25 × 20}/100)$

= (–25 + 20 – 5)% = – 10%

Negative sign shows decrease.

Question : 23

Two successive price increases of 10% and 10% of an article are equivalent to a single price increase of

a) 20%

b) 22%

c) 21%

d) 19%

Answer: (c)

Using Rule 7,

If a number is first increased by a% and then again increased by b%, then total increase per cent is $(a + b + {ab}/100)$%

Tricky approach

Single equivalent percentage increase in price

= $(10 + 10 + {10 × 10}/100)%$ = 21 %

Question : 24 [SSC SAS 2010]

If a number is increased by 20% and the resulting number is again increased by 20%, what per cent is the total increase ?

a) 44%

b) 40%

c) 41%

d) 48%

Answer: (a)

Using Rule 7,

Effective percentage increase

= $(20 + 20 + {20 × 20}/100)%$= 44%

Question : 25 [SSC CHSL 2014]

A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

a) 400

b) 600

c) 500

d) 200

Answer: (c)

Effective percentage = $(-20 + 20 - {20 × 20}/100)$= - 4%

If the number be x, then 4% of x = 20

$x × 4/100 = 20$

$x = {20 × 100}/4 = 500$

Using Rule 3,

If an amount is increased by a% and then it is reduced by a% again, then percentage change will be a decrease of $a^2/100%$

Let the number be x

Decrease % = $20^2/100$ = 4%

x – 4% of x = x – 20

${4x}/100 = + 20 ⇒ x = 500$

IMPORTANT quantitative aptitude EXERCISES

model 2 net increase or decrease in % Shortcuts »

Click to Read...

model 2 net increase or decrease in % Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »