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) 1 : 10
(b) 1 : 20
(c) 1 : 2
(d) 2 : 1
The correct answers to the above question in:
Answer: (d)
10% of m = 20% of n
$10/100 × m = 20/100 × n$
$m/n = 10/5 = 2/1$
m : n = 2 : 1
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Read more ratios based Based Quantitative Aptitude Questions and Answers
Question : 1
In what ratio must 25% hydrochloric acid be mixed with 60% hydrochloric acid to get a mixture of 40% hydrochloric acid ?
a) 3 : 4
b) 12 : 5
c) 4 : 3
d) 5 : 12
Answer »Answer: (a)
Required ratio = 15 : 20 = 3 : 4
Question : 2
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
Answer »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 : 3
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
Answer »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 : 4
The ratio of syrup and water in a mixture is 3 : 1, then the percentage of syrup in this mixture is :
a) 66$2/3$%
b) 33$1/3$%
c) 25%
d) 75%
Answer »Answer: (d)
Percentage of syrup = $3/4$ × 100 = 75%
Question : 5
The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by
a) 56$1/8$%
b) 28$1/8$%
c) 7$1/8$%
d) 14$1/8$%
Answer »Answer: (b)
Let the initial expenses on rice, fish and oil be Rs.12x, Rs.17x and Rs.3x respectively.
Total expenditure = Rs.(12x + 17x + 3x) = Rs.32 x
After increase,
Expenditure on rice = $120/100 ×12x = Rs.14.4x$
Expenditure on fish = $130/100 × 17x = Rs.22.1x$
Expenditure on oil = $150/100 × 3x = Rs.4.5x$
Total expenditure =Rs.(14.4 x + 22.1x + 4.5 x) =Rs.41 x
Increase = Rs.(41x – 32x) = Rs.9x
Percentage increase =${9x}/{32x} × 100 =225/8 = 28{1}/8$%
Question : 6
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 »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
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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