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 : 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

The correct answers to the above question in:

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

Question : 1

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 : 2

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 : 3

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 : 4

If a sum of money is to be divided among A, B, C such that A’s share is equal to twice B’s share and B’s share is 4 times C’s share, then their shares are in the ratio:

a) 8 : 4 : 1

b) 2 : 4 : 1

c) 1 : 4 : 1

d) 1 : 2 : 4

Answer: (a)

According to question,

A : B = 2 : 1

B : C = 4 : 1

A : B : C = 8 : 4 : 1

Question : 5

A certain amount of money is divided among x, y and z. If x receives 25% more than y and y receives 25% less than z, then x : y : z is equal to

a) 10 : 9 : 12

b) 12 : 10 : 11

c) 15 : 12 : 16

d) 14 : 12 : 13

Answer: (c)

Amount received by y = Rs.100.

Amount received by x = Rs.125.

Amount received by z

= ${100 × 100}/75$ = Rs.$400/3$

Required ratio

= 125 : 100 : $400/3$

= 5 : 4 : $16/3$ = 15 : 12 : 16

Question : 6

1740 is divided among A, B, and C such that 0.5 of A = 0.6 of B = 0.75 of C. Then C will get

a) 348

b) 464

c) 696

d) 580

Answer: (b)

A × 0.5 = B × 0.6 = C × 0.75

${A ×5}/10 = {B × 6}/10 = {C × 75}/100$

$A/2 = B/{5/3} = C/{4/3}$

A : B : C = $2 : 5/3 : 4/3$

= 6 : 5 : 4

C’s share

= $4/15 ×1740$ = Rs.464

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