type 7 finding sum difference product based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CGL Prelim 2002]

The ratio of the number of boys and girls of a school with 504 students is 13 : 11. What will be the new ratio if 12 more girls are admitted?

a) 9 : 10

b) 10 : 9

c) 81 : 91

d) 91 : 81

Answer: (d)

Total numbers of girls in the school

= $504 ×11/{13 + 11}$

= $504 × 11/24$ = 231

Total numbers of boys in the school

= $504 × 13/{13 + 11}$

= $504 × 13/29 = 273$

Now, total no. of girls when 12 more girls are admitted

= 231 + 12 = 243

Required ratio

= 273 : 243 = 91 : 81

Question : 22 [SSC CHSL 2012]

If there is a reduction in the number of workers in a factory in the ratio 15 : 11 and an increment in their wage in the ratio 22 : 25, then the ratio by which the total wage of the workers should be decreased is

a) 3 : 7

b) 3 :5

c) 5 : 6

d) 6 : 5

Answer: (d)

Tricky Approach

Required ratio

= 15 × 22 : 11 × 25 = 6 : 5

Question : 23 [SSC CGL Prelim 1999]

A and B have money in the ratio Rs.2 : 1. If A gives 2 to B, the money will be in the ratio 1 : 1. What were the initial amounts they had?

a) Rs.8 and Rs.4

b) Rs.6 and Rs.3

c) Rs.16 and Rs.8

d) Rs.12 and Rs.6

Answer: (a)

Let A and B have Rs.2x and Rs.x initially.

2x - 2 = x + 2

x = 4

Initial amount with A = Rs.8

Initial amount with B = Rs.4.

Question : 24 [SSC CGL Tier-I 2014]

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each then they are in the ratio 12 : 23. The smaller number is

a) 28

b) 36

c) 33

d) 55

Answer: (c)

Numbers = 3x and 5x (let)

According to question,

${3x - 9}/{5x - 9} = 12/23$

69x - 207 = 60x - 108

69x - 60x = 207 - 108

9x = 99 ⇒ $x = 99/9$ = 11

Smaller number = 3x = 3 × 11 = 33

Question : 25 [SSC Delhi Police 2012]

Two numbers are in the ratio of 3 : 5. If 9 be subtracted from each, then they are in the ratio of 12 : 23. Find the numbers.

a) 33, 55

b) 60, 69

c) 36, 115

d) 15, 28

Answer: (a)

According to the question,

${3x - 9}/{5x - 9} = 12/23$

(Numbers = 3x and 5x )

69x - 207 = 60x - 108

9x = 207 - 108 = 99

x = 11

Required numbers

3 × 11 = 33 and 5 × 11 = 55

Using Rule 35,

Here, a = 3, b = 5, c = 12,

d = 23, x = 9

1st Number = ${xa(d-c)}/{ad-bc}$

= ${9 × 3(23 - 12)}/{3 × 23 - 5 × 12}$

= ${27 × 11}/{69 - 60}$

= ${27 × 11}/9$= 33

2nd Number= ${xb(d-c)}/{ad-bc}$

= ${9 × 5(23 - 12)}/{3 × 23 - 5 × 12}$

= ${45 × 11}/{69 - 60}$

= ${45 × 11}/9$ = 55

Numbers are 33, 55

IMPORTANT quantitative aptitude EXERCISES

type 7 finding sum difference product based ratio & proportion problems Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

Classification Reasoning MCQ For IBPS Clerk Prelims 2024

Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024

03-May-2024 by Careericons

Continue Reading »

Ratio and Proportion Questions with Solutions, IBPS Clerk

New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam

02-May-2024 by Careericons

Continue Reading »

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »

SSC STENO: Mensuration Area & Volume Questions Test PDF

Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam

30-Apr-2024 by Careericons

Continue Reading »