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

Question : 11 [SSC DEO 2008]

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 : 12 [SSC CGL Prelim 2002]

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 : 13 [SSC CGL Prelim 2002]

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

Question : 14 [SSC CGL Tier-I 2014]

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 : 15 [SSC CGL Prelim 2004]

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

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