type 5 shares & partnership based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC MTS 2013]

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

Question : 2 [SSC MTS 2013]

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 : 3 [SSC CGL Prelim 2000]

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 : 4 [SSC CGL Prelim 2005]

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

Question : 5 [SSC SO 2003]

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

IMPORTANT quantitative aptitude EXERCISES

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