model 11 percentage with ratios Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 11 EXERCISES
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The following question based on percentage topic of quantitative aptitude
(a) 5: 4
(b) 4: 5
(c) 5: 3
(d) 6: 5
The correct answers to the above question in:
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
Discuss Form
Read more ratios based Based Quantitative Aptitude Questions and Answers
Question : 1
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 »Answer: (d)
$x × 15/100 = y × 20/100$
x × 15 = y × 20
$x/y = 20/15 = 4/3$ = 4 : 3
Question : 2
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 »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 : 3
The ratio of the number of boys to that of girls in a school is 4 : 1. If 75% of boys and 70% of the girls are scholarship-holders, then the percentage of students who do not get scholarship is
a) 75%
b) 26%
c) 28%
d) 50%
Answer »Answer: (b)
Let the number of boys and girls be 4x and x respectively.
Number of boys who hold scholarship. = $75/100 × 4x = 3x$
and number of girls who hold scholarship = ${70 × x}/100 = {7x}/10$
Number of students who do not hold scholarship
= $5x - 3x - {7x}/10 = 2x - {7x}/10$
= ${20x - 7x}/10 = {13x}/10$
The required percentage = ${{13x}/10}/{5x} × 100$
= ${13x}/{10 × 5x} × 100 = 26$%
Question : 4
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%
Answer »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)
Question : 5
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 »Answer: (a)
7x – 5x = 200
2x = 200 ⇒ x = 100
Price of a pair of shoes
= 5x = 5 × 100 = Rs.500
Question : 6
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 »Answer: (b)
${A × 60}/100 = B × 3/4$
A × $3/5 = B × 3/4$
$A/B = 3/4 × 5/3$ = 5 : 4
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
model 11 percentage with ratios
percentage Shortcuts and Techniques with Examples
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model 1 simple percentage questions
Defination & Shortcuts … -
model 2 net increase or decrease in %
Defination & Shortcuts … -
model 3 reducing & exceeding prices
Defination & Shortcuts … -
model 4 x & y comparison
Defination & Shortcuts … -
model 5 income & expenditure
Defination & Shortcuts … -
model 6 consumption & remaining
Defination & Shortcuts … -
model 7 marks scored in examinations
Defination & Shortcuts … -
Model 8 population based
Defination & Shortcuts … -
model 9 voters & election
Defination & Shortcuts … -
model 10 percentage with allegations & mixture
Defination & Shortcuts … -
model 11 percentage with ratios
Defination & Shortcuts …
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