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) 10% decrease
(b) 8% decrease
(c) 8% increase
(d) 10% increase
The correct answers to the above question in:
Answer: (c)
Using Rule 4,
Net % change
= $(A + B + {AB}/100)$%
Here, A = 20%, B = – 10%
Net % change = $20 - 10 - 200/100$
= 10 – 2= 8%
+ ve sign shows increase
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Read more net increase or decrease Based Quantitative Aptitude Questions and Answers
Question : 1
The numerator of a fraction is increased by 20% and denominator is decreased by 20%. The value of the fraction becomes $4/5$. The original fraction is
a) $8/15$
b) $4/5$
c) $7/11$
d) $2/3$
Answer »Answer: (a)
Original fraction = $x/y$
= ${120/100x}/{y × 80/100} = 4/5$
= ${120x}/{80y} = 4/5$ ⇒ ${6x}/{4y} = 4/5$
= $x/y = 4/5 × 4/6 = 8/15$
Question : 2
The price of an article was decreased by 10% and again reduced by 10%. By what per cent should the price have been reduced once, in order to produce the same effect as these two successive reductions ?
a) 19%
b) 25%
c) 20%
d) 15%
Answer »Answer: (a)
Using Rule 6,
If a number is first decreased by a% and then by b%, then net decrease per cent is $(-a -b + {ab}/100)$% (–ve sign for decrease)
A single equivalent reduction to reduction series of x%, y%
= $(x + y - {xy}/100)$%
=$(10 + 10 - {10 × 10}/100)$%
=(20 - 1) = 19%
Question : 3
The price of an edible oil is increased by 25%. To maintain the budget, Sushma reduces the consumption of this oil by 20%. The increase in expenditure due to this edible oil is:
a) 1
b) 3
c) 2
d) 0
Answer »Answer: (d)
Cost of edible oil = 100 per kg.
Consumption = 1 kg.
Again, New price = 125 per kg.
Consumption = 0.8 kg.
Expenditure = Rs.(125 × 0.8) = Rs.100
OR
Percentage effect = $(x + y + {xy}/100)%$
=$(25 - 20 - {25 × 20}/100)$% = 0%
Question : 4
When the price of an article was reduced by 20% its sale increased by 80%. What was the net effect on the sale?
a) 44% decrease
b) 75% increase
c) 66% increase
d) 44% increase
Answer »Answer: (d)
Using Rule 5,
Required effect = $(80 - 20 - {80 × 20}/100)%$
=(60 – 16)% = 44%
Positive sign shows increase.
Question : 5
If each side of a cube is increased by 10% the volume of the cube will increase by
a) 10%
b) 25%
c) 33.1%
d) 30%
Answer »Answer: (c)
Single equivalent increase for 10% and 10%
= $(10 + 10 + {10 × 10}/100)$% = 21%
Again, single equivalent increase for 21% and 10%
= $(21 + 10 + {21 × 10}/100)%$
= 31 + 2.1 = 33.1%
Using Rule 14,
"If every side of cube is increased by a%, then increase % in volume"
= $(3a + {3a^2}/100 + a^3/(100)^2)$%
Increase % in volume
= $(3 × 10 + {3 × 10^2}/100 + 10^3/(100)2)%$
=$(30 + 3 + 1/10)$ = 33.1%
Note : Volume of cube = $(Edge)^3$
Hence, formula $(x + y + {xy}/100)%$ should be used twice.
Question : 6
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 »Answer: (c)
Using Rule 7,
Required percentage increase
= $(10 + 20 + {10 × 20}/100)%$= 32%
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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