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 : 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

The correct answers to the above question in:

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

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

Question : 1

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 : 2

A sum of 86, 700 is to be divided among A, B and C in such a manner that for every rupee that A gets, B gets 90 paise and for every rupee that B gets, C gets 100 paise. B’s share will be

a) 28,000

b) 28, 090

c) 27,000

d) 26, 010

Answer: (c)

When A gets 100 paise, B gets 90 Paise

When B gets 100 paise, C gets 110 paise

When B gets 90 paise, C gets

$110/100 × 90$ = 99 paise

A : B : C = 100 : 90 : 99

Sum of the ratios

= 100 + 90 + 99 = 289

B’ share

= $(90/289 × 86700)$ = Rs.27000

Question : 3

A sum of 1240 is distributed among A, B and C such that the ratio of amount received by A and B is 6 : 5 and that of B and C is 10 : 9 respectively. Find the share of C.

a) 400

b) 630

c) 360

d) 480

Answer: (c)

A : B = 6 : 5, B : C = 10 : 9

A : B : C = 6 : 5
10 : 9
60 : 50 : 45= 12 : 10 : 9
According to the question

(12 + 10 + 9) units ⇒ 1240

9 units = $1240/31 × 9$ = Rs.360

Question : 4

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 : 5

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

Answer: (c)

B's share

= $3/(2 + 3 + 4) × 738$

= $3/9 × 738$ = Rs.246

Question : 6

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

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