model 2 net increase or decrease in % Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on percentage topic of quantitative aptitude

Questions : A number is increased by x %; to get back to the original number, it is to be reduced by

(a) ${100x}/{100 + x}$%

(b) $x/{100 + x}$%

(c) ${10x}/{100 + x}$%

(d) x %

The correct answers to the above question in:

Answer: (a)

Initial value → increasing value

${P × x}/100$ → increased value → P + ${Px}/100$

= $P({100 + x}/100)$

Required answer = $(x/{100 + x} × 100)%$

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Read more net increase or decrease Based Quantitative Aptitude Questions and Answers

Question : 1

The price of an article was first increased by 10% and then again by 20%. If the last increased price be Rs.33, the original price was

a) Rs.27.50

b) Rs.25

c) Rs.26.50

d) Rs.30

Answer: (b)

Using Rule 7,

Simple Approach

Effective increase percentage

= $(10 + 20 + {20 × 10}/100)%$ = 32%

$x × 132/100 = 33$

$x = {33 × 100}/132$ = Rs.25

Question : 2

The price of an article is first decreased by 20% and then increased by 30%. If the resulting price is Rs.416, the original price of the article is

a) Rs.405

b) Rs.450

c) Rs.400

d) Rs.350

Answer: (c)

If the original price of article be Rs.x, then

$x × 80/100 × 130/100$ = 416

$x = {416 × 100 × 100}/{80 × 130}$= Rs.400

Using Rule 5,

Let the number be x

The number increases by

$(- 20 + 30 - {20 × 30}/100)$% = 4%

$x + {4x}/100$ = 416

${104x}/100$ = 416 ⇒ x = 400

Question : 3

The price of an article is decreased by 10%. To restore its former value the new price must be increased by :

a) 11%

b) 11$1/9$%

c) 9$1/11$%

d) 10%

Answer: (b)

Let the original price be Rs.100

New price after 10% decrease = Rs.90

In order to restore the price to its original value, it must be increased by Rs.10

% increase = $10/90 × 100 = 100/9 = 11{1}/9%$

Using Rule 9,

If ‘x' is A% less than ‘y', then y is more than ‘x' by Required% = $(A/{(100 - A)} × 100)%$(increase)

Required % = $10/{100 - 10} × 100%$

= $100/9% = 11{1}/9$%

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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
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