type 5 shares & partnership based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on ratio & proportion topic of quantitative aptitude

Questions : A sum of 300 is divided among P, Q and R in such a way that Q gets 30 more than P and R gets 60 more than Q. The ratio of their share is

(a) 3 : 2 : 5

(b) 2 : 5 : 3

(c) 2 : 3 : 5

(d) 5 : 3 : 2

The correct answers to the above question in:

Answer: (c)

According to question,

P + Q + R = Rs.300

Now, Q = P + 30

R = Q + 60

= P + 30 + 60 = P + 90

Hence, P + Q + R = Rs.300

P + P + 30 + P + 90 = 300

3P + 120 = 300

P = $180/3$ = 60

Share of P = Rs.60,

Q = Rs.90, R = Rs.15

P : Q : R = 60 : 90 : 150

= 6 : 9 : 15 = 2 : 3 : 5

Practice ratio & proportion (type 5 shares & partnership based ratio & proportion problems) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more shares and partnership based ratio and proportion Based Quantitative Aptitude Questions and Answers

Question : 1

A sum of 7,000 is divided among A, B, C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The share of B is

a) 1,600

b) 2,000

c) 3,000

d) 2,400

Answer: (d)

A : B = 2 : 3

B : C = 4 : 5

A : B : C = 8 : 12 : 15

B’s share = $12/35 × 7000$ = Rs.2400

Question : 2

2010 are to be divided among A, B and C in such a way that if A gets 5 then B must get Rs. 12 and if B gets 4 then C must get 5.50. The share of C will exceed that of B by

a) 360

b) 270

c) 430

d) 620

Answer: (b)

According to the question,

A : B = 5 : 12 = 10 : 24

B : C = 4 : 5.50 = 24 : 33

A : B : C = 10 : 24 : 33

Sum of the ratios

= 10 + 24 + 33 = 67

Difference between the shares of C and B

= Rs.$({33 - 24}/67 × 2010)$

= Rs.$(9/67 × 2010)$ = Rs.270

Question : 3

Divide 2,600 among A, B,C in the ratio 1 2 1 3 1 4 : : . Find the share of each.

a) 600, 800, 1,200

b) 800, 600, 1,200

c) 1,200, 800, 600

d) 1,200, 600, 800

Answer: (c)

A : B : C = $1/2 : 1/3 : 1/4$

= $1/2 × 12 : 1/3 × 12 : 1/4 × 12$

[LCM of 2, 3 and 4 = 12]

= 6 : 4 : 3

A's share = $6/13$ × 2600 = Rs.1200

B's share = $4/13$ × 2600 = Rs.800

C's share = $3/13$ × 2600 = Rs.600

Question : 4

750 are divided among A, B and C in such a manner that A : B is 5 : 2 and B : C is 7 : 13. What is A’s share ?

a) 140

b) 250

c) 260

d) 350

Answer: (d)

A : B=5 : 2
B : C=7 : 13

A : B : C = 5 × 7 : 7 × 2 : 2 × 13

= 35 : 14 : 26

Sum of the ratios

= 35 + 14 + 26 = 75

A's share

= Rs.$35/75 × 750$ = Rs.350

Question : 5

555 was to be divided among A, B and C in the ratio of 1 4 : 1 5 : 1 6 . But by mistake it was divided in the ratio of 4 : 5 : 6. The amount in excess received by C was

a) 22

b) 52

c) 75

d) 72

Answer: (d)

Case I

A : B : C = $1/4 : 1/5 : 1/6$

= $1/4 × 60 : 1/5 × 60 : 1/6$ × 60

[LCM of 4, 5 and 6 = 60]

= 15 : 12 : 10

Sum of ratios = 15 + 12 + 10 = 37

C’s share

= $10/37$ × 555 = Rs.150

Case II

A : B : C = 4 : 5 : 6

Sum of ratios = 4 + 5 + 6 = 15

C’s share

= $6/15$ × 555 = Rs.222

Required answer

= Rs.(222 - 150) = Rs.72

Question : 6

A sum of 9000 is to be distributed among A, B and C in the ratio 4 : 5 : 6. What will be the difference between A’s and C’s shares?

a) 900

b) 1200

c) 1000

d) 600

Answer: (b)

A’s share = $9000 × 4/15$

= 600 × 4 = Rs.2400

C’s share = $9000 × 6/15$

= 600 × 6 = Rs.3600

Difference = 3600 - 2400 = Rs.1200

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »