model 4 x & y comparison 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

percentage Important Formulas, Rules, Concepts & Shortcuts

Question : 6 [SSC CPO S.I.2005]

If A's height is 10% more than B's height, by how much per cent less is B's height than that of A ?

a) 10$1/11$%

b) 10%

c) 9$1/11$%

d) 10$1/9$%

Shortcut »

Answer: (c)

Using Rule 8,

If the first value is r % more than the second value, then the second is $[r/{100 + r}×100]$% less than the first value.

Here r = 10%.

Required percentage

= $10/110×100 = 100/11 = 9{1}/11$%

Question : 7 [SSC CGL Prelim 2002]

If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :

a) 140.55

b) 150

c) 123.75

d) 143

Shortcut »

Answer: (c)

y is 10% more than 125

= $125×110/100 = 137.5= y$

and x is 10% less than y

$x = 90/100 × y = 90/100 × 137.5$

= 123.75

Question : 8 [SSC CPO S.I.2003]

Which number is 40% less than 90 ?

a) 50

b) 36

c) 60

d) 54

Shortcut »

Answer: (d)

Required number = 60% of 90 = ${90 × 60}/100$ = 54

Question : 9 [SSC CPO S.I. 2003]

If x is 10% more than y, then by what per cent is y less than x ?

a) 8$1/11$%

b) 9$1/11$%

c) 10$1/11$%

d) 7$1/11$%

Shortcut »

Answer: (b)

Using Rule 8,

If the income of a man is A% more than another man, then the income of another man is less in comparison to the 1st man by

$(A/{(100 + A)}×100)$%

Required per cent decrease

= $10/{100+10}×100 = 10/110×100 = 9{1}/11$%

Question : 10 [SSC CGL Prelim 2008]

B got 20% marks less than A. What per cent marks did A got more than B ?

a) 12%

b) 20%

c) 80%

d) 25%

Shortcut »

Answer: (d)

Using Rule 9,

Required percentage = $20/{100 - 20} × 100$ = 25%

IMPORTANT quantitative aptitude EXERCISES

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