model 2 net increase or decrease in % Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on percentage topic of quantitative aptitude
(a) 210
(b) 300
(c) 240
(d) 280
The correct answers to the above question in:
Answer: (c)
Larger number = x and smaller number = 520 – x
${96x}/100 = {520 - x}/100 × 112$
96x = 520 × 112 – 112x
112x + 96x = 520 × 112
208x = 520 × 112
$x = {520 × 112}/208 = 280$
Smaller number = 520 – 280 = 240
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Read more net increase or decrease Based Quantitative Aptitude Questions and Answers
Question : 1
The strength of a school increases and decreases in every alternate year by 10%. It started with increase in 2000. Then the strength of the school in 2003 as compared to that in 2000 was
a) decreased by 8.9%
b) decreased by 9.8%
c) increased by 9.8%
d) increased by 8.9%
Answer »Answer: (d)
Using Rule 4,
If a number is increased by a% and then it is decreased by b%, then the resultant change in percentage will be $(a - b - {ab}/100)$% (Negative for decrease, Positive for increase)
Increase in first year = 10%
Decrease in 2nd year = 10%
Effective result = $(10 - 10 - {10 × 10}/100)% = -1%$
Increase in 3rd year = 10%
Effective result = $(10 - 1 - {10 × 1}/100)$%
= (9 – 0.1)% = 8.9% (increase)
Question : 2
If the numerator of a fraction is increased by 20% and the denominator is decreased by 5%, the value of the new fraction becomes $5/2$. The original fraction is
a) $3/18$
b) $48/95$
c) $95/48$
d) $24/19$
Answer »Answer: (c)
Let original fraction be $x/y$
According to the question,
${120/100x}/{{95y}/100} = 5/2$
${120x}/{95y} = 5/2$
$x/y = 5/2 × 95/120 = 95/48$
Question : 3
The price of an article is reduced by 25% but the daily sale of the article is increased by 30%. The net effect on the daily sale receipts is
a) 2$1/2$% decrease
b) 2% decrease
c) 2% increase
d) 2$1/2$% increase
Answer »Answer: (a)
Let the price of the article be Rs.100 and the daily sale be 100 units.
Revenue day = 100 × 100 = Rs.10000
New receipts = 75 × 130 = Rs.9750
Decrease = Rs.(10000 – 9750) = Rs.250
% decrease = $250/10000 × 100 = 2{1}/2%$
Using Rule 5,
If a number is decreased by a% and then it is increased by b%, then net increase or decrease per cent is $(-a + b - {ab}/100)$% (Negative sign for decrease; Positive sign for increase)
Required change = $(a - b - {ab}/100)$
= $(30 - 25 – {30 × 25}/100)%$
= $(5 - 15/2) = –2.5% = 2{1}/2%$ decrease.
Question : 4
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 »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
${4x}/100 = + 20 ⇒ x = 500$
Question : 5
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 »Answer: (a)
Using Rule 7,
Effective percentage increase
= $(20 + 20 + {20 × 20}/100)%$= 44%
Question : 6
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 »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 %
GET percentage PRACTICE TEST 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 Shortcuts and Techniques with Examples
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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 …
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