model 11 percentage with ratios Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on percentage topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

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

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Read more ratios based Based Quantitative Aptitude Questions and Answers

Question : 1

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

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 : 2

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

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

Question : 3

The population of a town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is

a) 56,800

b) 99,600

c) 48,900

d) 41,800

Answer: (c)

Women = $43/83 × 311250 = 161250$

Men = 311250 – 161250 = 150000

Total number of literate persons

=${161250 × 8}/100 + 150000 × 24/100$ = 12900 + 36000 = 48900

Question : 4

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$1/11$%

Answer: (c)

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

Question : 5

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

Answer: (d)

Let C = 100; B = 80

A = ${80 × 160}/100 = 128$

A : C = 128 : 100 = 32 : 25

Question : 6

The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then the percentage of students, who do not get scholarship, is

a) 75%

b) 76%

c) 72%

d) 50%

Answer: (b)

Let the number of boys = 3x and that of girls = 2x

Number of boys who do not hold scholarship = 80% of 3x

= $3x × 80/100 = {12x}/5$

Number of girls who do not hold scholarship

= $2x × 70/100 = {14x}/10$

Number of students who do not hold scholarship

= ${12x}/5 + {14x}/10 = {24x + 14x}/10 = {38x}/10$

Required percentage = ${{38x}/10}/{5x} × 100 = 38/{10 × 5} × 100=76%$

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