model 11 percentage with ratios Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26 [SSC CGL Tier-II 2015]

If 50% of x = 30% y, then x : y is

a) 3 : 2

b) 3 : 5

c) 5 : 3

d) 2 : 3

Answer: (b)

50% of x = 30% of y

${x × 50}/100 = {y × 30}/100$

$x/y = 30/50 = 3/5$ = 3 : 5

Question : 27 [SSC CGL 2005]

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

a) 4 : 5

b) 6 : 7

c) 3 : 5

d) 2 : 5

Answer: (a)

Let the third number be 100.

First number = 120; Second number = 150

Required ratio = $120/150$

= $4/5$ or 4 : 5

Question : 28

The bus fare and train fare of a place from Kolkata were Rs.20 and Rs.30 respectively. Train fare has been increased by 20% and the bus fare has been increased by 10%. The ratio of new train fare to new bus fare is

a) 5 : 3

b) 3 : 5

c) 18 : 11

d) 11 : 18

Answer: (c)

Increased train fare = Rs.$(120/100 × 30)$= Rs.36

Increased bus fare = Rs.$(110/100 × 20)$ = Rs.22

Required ratio = 36 : 22 = 18 : 11

Question : 29 [SSC CGL Tier-II 2016]

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, the percentage of the school students who are not scholarship holders is

a) 70

b) 80

c) 78

d) 56

Answer: (c)

Let the number of students in school be 100.

Boys ⇒ 60 Girls ⇒ 40

Students who do not hold scholarship :

Boys ⇒ ${60 × 80}/100$ = 48 Girls ⇒ ${40 × 75}/100$ = 30

Required answer = 48 + 30 = 78 i.e., 78%

Question : 30 [SSC MTS 2013]

The difference of two numbers is 45% of their sum. The ratio of the larger number to the smaller number is

a) 29 : 11

b) 11 : 29

c) 9 : 20

d) 20 : 9

Answer: (a)

Let the numbers be x and y and x is greater than y.

Then x – y = 45% of (x + y)

x – y = $45/100(x + y)$

x – y = $9/20(x + y)$

20x – 20y = 9x + 9y

20x – 9x = 20y + 9y

11x = 29y

$x/y = 29/11$ or 29 : 11

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