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 : 11 [SSC CISF ASI 2010]

If A exceeds B by 60% and B is less than C by 20%, then A : C is

a) 8 : 5

b) 4 : 5

c) 25 : 32

d) 32 : 25

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Answer: (d)

Let C = 100; B = 80

A = ${80 × 160}/100 = 128$

A : C = 128 : 100 = 32 : 25

Question : 12

The ratio between Ram's age and Rahim's age is 10:11. What is the age of Rahim in percentage of Ram's age ?

a) 111$1/9$%

b) 111%

c) 110%

d) 109$1/11$%

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Answer: (c)

Required percent = $11/10 × 100 = 110%$

Question : 13 [SSC CGL Tier-I 2014]

Two numbers A and B are such that the sum of 5% of A and 4% of B is $2/3$ rd of the sum of 6% of A and 8% of B. The ratio A : B is

a) 1 : 1

b) 2 : 3

c) 3 : 4

d) 4 : 3

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Answer: (d)

Numbers ⇒ A and B

${A × 5}/100 + {B × 4}/100$

= $2/3({A × 6}/100 + {B × 8}/100)$

5A + 4B = ${12A + 16B}/3$

15A + 12B = 12A + 16B

15A – 12A = 16B – 12B

3A = 4B

$A/B = 4/3$ = 4 : 3

Question : 14

If 20% of A = 30% of B =$1/6$ of C, then A : B : C is

a) 10 : 15 : 18

b) 15 : 10 : 18

c) 3 : 2 : 16

d) 2 : 3 : 16

Shortcut »

Answer: (b)

20 % of A = 30 % of B = $1/6$ of C

${20A}/100 = {30B}/100 = C/6$

$A/5 = B/{10/3} = C/6 = k (let)$

A = 5k, B = $10/3$k, C = 6 k

A : B : C = 5k : ${10k}/3$ : 6 k

= 15 : 10 : 18

Question : 15 [SSC CHSL 2015]

A milkman mixed some water with milk to gain 25% by selling the mixture at the cost price. The ratio of water and milk is respectively

a) 1 : 5

b) 1 : 4

c) 4 : 5

d) 5 : 4

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Answer: (b)

C.P. of 1 litre of milk= Rs. 100

Mixture sold for Rs. 125

= $125/100 = 5/4$ litre

Quantity of water = $5/4 - 1 = 1/4$ litre

Required ratio = $1/4$ : 1 = 1 : 4

IMPORTANT quantitative aptitude EXERCISES

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