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

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

Questions : 738 is divided among A, B, C so that their shares are in the ratio of 2 : 3 : 4. B’s share is

(a) 264

(b) 164

(c) 246

(d) 328

The correct answers to the above question in:

Answer: (c)

B's share

= $3/(2 + 3 + 4) × 738$

= $3/9 × 738$ = Rs.246

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

Question : 1

A sum of 53 is divided among A, B and C in such a way that A gets 7 more than what B gets and B gets 8 more than what C gets. The ratio of their share is

a) 18 : 25 : 10

b) 15 : 8 : 30

c) 25 : 18 : 10

d) 16 : 9 : 18

Answer: (c)

B = C + 8

A = C + 8 + 7 = C + 15

C + 15 + C + 8 + C = 53

3C + 23 = 53

3C = 53 - 23 = 30

C = Rs.10

B = C + 8 = 10 + 8 = Rs.18

A = C + 15 = 10 + 15 = Rs.25

A : B : C = 25 : 18 : 10

Question : 2

3,000 is divided between A, B and C, so that A receives 1 3 as much as B and C together receive and B receives 2 3 as much as A and C together receive. Then the share of C is

a) 1,625

b) 1,050

c) 525

d) 600

Answer: (b)

A = $1/3$(B + C)

3A = B + C...(i)

B = $2/3$(A + C)

3B = 2A + 2C ...(ii)

From equation (i),

3A = B + C

9A = 3B + 3C

9A = 2A + 2C + 3C

7A = 5C ...(iii)

From equation (ii),

3B = $2({5C}/7)$ + 2C

21B = 10C + 14C

21B = 24C

7B = 8C ...(iv)

From equations (iii) and (iv),

C = ${7A}/5 = {7B}/8$

$A/5 = B/8 = C/7$

C’s share

= $7/(5 + 8 + 7) × 3000$

= Rs.$(7/20 × 3000)$ = Rs.1050

Question : 3

900 is divided among A, B, C; the division is such that 1 2 of A's money = 1 3 of B's money = 1 4 of C's money. Find the amount (in ) received by A, B, C.

a) 200, 300, 400

b) 400, 150, 350

c) 350, 450, 100

d) 300, 400, 200

Answer: (a)

A × $1/2 = B × 1/3 = C × 1/4$

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

A : B : C = 2 : 3 : 4

A ⇒ $2/9 × 900$ = Rs.200

B ⇒ $3/9 × 900$ = Rs.300

C ⇒ $4/9 × 900$ = Rs.400

Question : 4

Divide 7,500 among A, B and C such that A’s share to B’s share is in ratio 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?

a) 2,600

b) 7,000

c) 3,500

d) 1,400

Answer: (d)

A : B = 5 : 2

B : C = 7 : 13

A : B : C = 5 × 7 : 2 × 7 : 2 × 13

= 35 : 14 : 26

Sum of the ratios

= 35 + 14 + 26 = 75

Total amount = Rs.7500

B’s share = Rs.$14/75 × 7500$ = Rs.1400

Question : 5

A sum of 370 is to be divided among A, B and C such that A’s Share B’s Share = B’s Share C’s Share = 3 4 , A’s share (in rupees) is

a) 100

b) 90

c) 120

d) 240

Answer: (b)

A : B =3:4
B : C =3:4

A : B : C = 9 : 12 : 16

A’s share

= $9/{9 + 12 + 16}$ × Rs.370 = Rs.90

Question : 6

6,400 are divided among three workers in the ratio 3 5 : 2 : 5 3 . The share (in rupees) of the second worker is

a) 2,560

b) 3,000

c) 3,840

d) 3,200

Answer: (b)

Ratio = $3/5 : 2 : 5/3$

= 9 : 30 : 25

Sum of ratios = 9 + 30 + 25 = 64

Share of second worker

= $30/64 × 6400$ = Rs.3000

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