model 11 percentage with ratios 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 : 21 [SSC CGL Prelim 2007]

The difference of two numbers is 15% of their sum. The ratio of the larger number to the smaller number is

a) 17 : 11

b) 23 : 11

c) 11 : 9

d) 23 : 17

Shortcut »

Answer: (d)

Let the numbers be x and y where x > y.

Then, x - y =$15/100$(x + y)

x – y = $3/20$(x + y)

20x – 20y = 3x + 3y

20x – 3x = 20y + 3y

17x = 23y ⇒ $x/y = 23/17$

Question : 22 [SSC CPO S.I.2010]

If 30% of (B – A) = 18% of (B + A), then the ratio A : B is equal to

a) 5 : 4

b) 5 : 9

c) 1 : 4

d) 4 : 1

Shortcut »

Answer: (c)

$(B – A) × 30/100 = (B + A) × 18/100$

${B - A}/{B + A} = 18/30 = 3/5$

By componendo and dividendo,

${2B}/{- 2A} = {3 + 5}/{3 - 5} = 8/{-2} = 4/{-1}$

$B/A = 4/1$ = A : B = 1 : 4

Question : 23 [SSC CPO S.I.2008]

The ratio of two numbers is 4:5 when the first is increased by 20% and the second is decreased by 20%, the ratio of the resulting numbers is

a) 5 : 6

b) 6 : 5

c) 5 : 4

d) 4 : 5

Shortcut »

Answer: (b)

Let the numbers be 4x and 5x.

After corresponding increase or decrease,

Required ratio = ${4x} × 120/100 : {5x} × 80/100$

= 12x : 10x = 6 : 5

Question : 24

The ratio 5 : 4 expressed as a per cent equals :

a) 40%

b) 12.5%

c) 80%

d) 125%

Shortcut »

Answer: (d)

5 : 4 when expressed as percent

= $5/4$ × 100 = 125%

Question : 25 [SSC SO 2003]

If A exceeds B by 40%, B is less than C by 20%, then A : C is :

a) 3 : 2

b) 3 : 1

c) 26 : 25

d) 28 : 25

Shortcut »

Answer: (d)

Let B = 100

According to question,

A is 40% greater than B. ∴ A = 140

B is 20% less than C

⇒ 0.8C = 100∴ C = 125

∴ A : C = 140 : 125 = 28 : 25

IMPORTANT quantitative aptitude EXERCISES

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