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
Question : 1
A number is increased by 20% and then again by 20%. By what per cent should the increased number be reduced so as to get back the original number ?
a) 19$11/31$%
b) 44%
c) 40%
d) 30$5/9$%
Answer »Answer: (d)
Let the number be 100.
After 20% increase, number = 120
After 20% increase of 120, number
=$120 × 120/100$ = 144
Per cent decrease = $44/144 × 100$
= $275/9 = 30{5}/9%$
Using Rule 7 and Rule 8,
Increase % = $(20 + 20 + {20 × 20}/100)% = 44%$
Required % = $(44/{100 + 44}) × 100%$
= $4400/144%$
=$275/9% = 30{5}/9%$
Question : 2 [SSC CGL TierI 2016]
A number is decreased by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease?
a) 26%
b) 28%
c) 27%
d) 25%
Answer »Answer: (b)
Effective percentage decrease
= $(x + y + {xy}/100)%$
= $(10  20 + {(10) × (20)}/100)%$
= (30 + 2)% = 28%
Question : 3
Salary of a person is first increased by 20%, then it is decreased by 20%. Percentage change in his salary is :
a) 4% increased
b) 20% increased
c) 8% decreased
d) 4% decreased
Answer »Answer: (d)
Using Rule 4,
"If a number is increased by a% and then it is decreased by b%, then resultant change in percentage will be"
$(a  b  {ab}/100)$%
Change in his salary = $(20  20  {20 × 20}/100)$%
= $( 400/100)% =  4%$
i.e. 4% decrease
Note : If A is first increased by x% and then decreased by y% the net % change
= $(x  y  {xy}/100)$%
If the result is positive, the change indicates an increase and if the result is negative, the change indicates a decrease.
Question : 4 [SSC CGL TierI 2014]
A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is
a) 30%
b) 25%
c) 50%
d) 40%
Answer »Answer: (c)
Man's income = Rs.100 (let)
Expenditure = Rs.75
Savings = Rs.25
New income = ${100 × 120}/100 = Rs.120$
New expenditure = ${75 × 110}/100 = Rs.82.5$
Savings = 120 – 82.5 = Rs.37.5
Increase in savings = 37.5 – 25 = Rs.12.5
Increase per cent = $12.5/25 × 100 = 50%$
Question : 5 [SSC CGL Prelim 2007]
If the income tax is increased by 19%, the net income is reduced by 1%. The rate of income tax is
a) 4%
b) 7.2%
c) 5%
d) 6%
Answer »Answer: (c)
Let the income be Rs.x and the rate of income tax be y %
According to the question,
${xy × 1.19}/100  {xy}/100 = (x  {xy}/100) × 1/100$
$1.19 xy  xy = x  {xy}/100$
$0.19 y = 1  y/100$
$y/100 + 0.19y = 1 ⇒ ({1 + 19}/100) = 1$
$y = 100/20 = 5%$
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Model 2 Net Increase Or Decrease In % Shortcuts »
Click to Read...Model 2 Net Increase Or Decrease In % Online Quiz
Click to Start..PERCENTAGE SHORTCUTS AND TECHNIQUES WITH EXAMPLES

Model 1 Simple Percentage Questions
Defination & Shortcuts … 
Model 2 Net Increase Or Decrease In %
Defination & Shortcuts … 
Model 3 Reducing & Exceeding Prices
Defination & Shortcuts … 
Model 4 X & Y Comparison
Defination & Shortcuts … 
Model 5 Income & Expenditure
Defination & Shortcuts … 
Model 6 Consumption & Remaining
Defination & Shortcuts … 
Model 7 Marks Scored In Examinations
Defination & Shortcuts … 
Model 8 Population Based
Defination & Shortcuts … 
Model 9 Voters & Election
Defination & Shortcuts … 
Model 10 Percentage With Allegations & Mixture
Defination & Shortcuts … 
Model 11 Percentage With Ratios
Defination & Shortcuts …
QUANTITATIVE APTITUDE CATEGORIES

» Number System

» Average

» LCM & HCF

» Percentage

» Profit & Loss

» Time & Work

» Pipes & Cisterns

» Time & Distance

» Trains

» Compound Interest

» Simplification

» Discount

» Power

» Permutations & Combination

» Ratio & Proportion

» Advance Math

» Algebraic Expressions

» Trigonometric Ratios & Identities

» Simple Interest

» Alligation & Mixtures

» Boats & Streams

» Set Theory

» Linear Equations

» Quadratic Equations

» Mensuration

» Squareroots & Cuberoots

» Data Sufficiency

» Logarithm

» Probability

» Statistics
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