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

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The following question based on percentage topic of quantitative aptitude

Questions : The ratio of the number of boys and girls in a college is 3 : 2. If 20% of boys and 25% of girls are adults, the percentage of those students who are not adults, is

(a) 78%

(b) 82.5%

(c) 67.5%

(d) 58%

The correct answers to the above question in:

Answer: (a)

Let the number of boys and girls in the college be 3x and 2x respectively.

Number of minor boys = $3x × 80/100 = {12x}/5$

Number of minor girls = $2x × 75/100 = {3x}/2$

Total number of minor students = ${12x}/5 + {3x}/2$

= ${24x + 15x}/10 = {39x}/10 $

Required percentage = ${39x}/{10 × 5x} × 100$ = 78%

(As total students = 3x + 2x)

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Read more ratios based Based Quantitative Aptitude Questions and Answers

Question : 1

When 60% of a number is subtracted from another number, the second number reduces to its 52%; the ratio of the first number to the second number is :

a) 5: 4

b) 4: 5

c) 5: 3

d) 6: 5

Answer: (b)

Let the first number be x and second number be y.

y - ${60x}/100 = {52y}/100$

100y – 60x = 52y

48y = 60x

$x/y = 48/60 = 4/5$ or 4 : 5

Question : 2

If 15% of x is same as 20 % of y then x : y is

a) 6 : 5

b) 3 : 4

c) 5 : 4

d) 4 : 3

Answer: (d)

$x × 15/100 = y × 20/100$

x × 15 = y × 20

$x/y = 20/15 = 4/3$ = 4 : 3

Question : 3

The ratio of the number of boys and girls in a school is 2 : 3. If 25% of the boys and 30% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is

a) 54

b) 60

c) 36

d) 72

Answer: (d)

Boys in school = 2x

Girls = 3x

Students who are not scholarship holders :

Boys ⇒ ${2x × 75}/100 = {6x}/4$

Girls ⇒ ${3x × 70}/100 = {21x}/10$

Total students who donot hold scholarship = ${6x}/4 + {21x}/10$

= ${30x + 42x}/20 = {72x}/20 = {18x}/5$

Required percentage = ${{18x}/5}/{5x} ×100$ = 72%

Question : 4

The prices of a school bag and a shoe are in the ratio 7 : 5. The price of a school bag is Rs.200 more than the price of a shoe. Then the price of a shoe is

a) Rs.500

b) Rs.1,200

c) Rs.700

d) Rs.200

Answer: (a)

7x – 5x = 200

2x = 200 ⇒ x = 100

Price of a pair of shoes

= 5x = 5 × 100 = Rs.500

Question : 5

If 60% of A = $3/4$ of B, then A : B is

a) 4 : 5

b) 5 : 4

c) 20 : 9

d) 9 : 20

Answer: (b)

${A × 60}/100 = B × 3/4$

A × $3/5 = B × 3/4$

$A/B = 3/4 × 5/3$ = 5 : 4

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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

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