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 : 36 [SSC CHSL 2010]

The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, then the percentage of the students, who do not get the scholarship, is :

a) 60%

b) 55%

c) 75%

d) 78%

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Answer: (d)

Boys = 30, Girls = 20 (let)

Boys getting no scholarship = 24

Girls getting no scholarship = 15

Sum = 24 + 15 = 39

Required percentage = $39/50 × 100$ = 78%

Question : 37 [SSC CGL Prelim 2008]

Rama's expenditures and savings are in the ratio 5 : 3. If her income increases by 12% and expenditure by 15%, then by how much per cent do her savings increase ?

a) 8%

b) 13%

c) 7%

d) 12%

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Answer: (c)

Let Rama's expenditure = 5x

Savings = 3x

Rama's income = 5x + 3x = 8x

After increase,

Rama's income = $112/100 × 8x = 8.96 x$

Rama's expenditure = ${5x × 115}/100 = 5.75x$

Rama's savings = (8.96x – 5.75x) = 3.21x

Rama's saving percent = $({3.21x - 3x}/{3x})×100$

= $0.21/3 × 100 = 7$

Question : 38 [SSC CGL Prelim 2005]

In a class, the number of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ratio of the number of boys to that of the girls is

a) 1 : 4

b) 3 : 5

c) 3 : 4

d) 1 : 2

Shortcut »

Answer: (c)

Let number of boys be x.

Then, $x + 120/100x = 66 ⇒ x + {6x}/5 = 66$

${5x + 6x}/5 = 66 ⇒ x = {66 × 5}/11 = 30$

Number of girls = 66 - 30 = 36

New ratio = 30 : (36 + 4) = 30 : 40 = 3 : 4

IMPORTANT quantitative aptitude EXERCISES

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