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
(a) 22
(b) 52
(c) 75
(d) 72
The correct answers to the above question in:
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
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Question : 1
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 »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
Question : 2
A sum of 300 is divided among P, Q and R in such a way that Q gets 30 more than P and R gets 60 more than Q. The ratio of their share is
a) 3 : 2 : 5
b) 2 : 5 : 3
c) 2 : 3 : 5
d) 5 : 3 : 2
Answer »Answer: (c)
According to question,
P + Q + R = Rs.300
Now, Q = P + 30
R = Q + 60
= P + 30 + 60 = P + 90
Hence, P + Q + R = Rs.300
P + P + 30 + P + 90 = 300
3P + 120 = 300
P = $180/3$ = 60
Share of P = Rs.60,
Q = Rs.90, R = Rs.15
P : Q : R = 60 : 90 : 150
= 6 : 9 : 15 = 2 : 3 : 5
Question : 3
A sum of 7,000 is divided among A, B, C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The share of B is
a) 1,600
b) 2,000
c) 3,000
d) 2,400
Answer »Answer: (d)
A : B = 2 : 3
B : C = 4 : 5
A : B : C = 8 : 12 : 15
B’s share = $12/35 × 7000$ = Rs.2400
Question : 4
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 »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 : 5
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 »Answer: (c)
A : B = 6 : 5, B : C = 10 : 9
| A : B : C = 6 : 5 |
| 10 : 9 |
| 60 : 50 : 45= 12 : 10 : 9 |
(12 + 10 + 9) units ⇒ 1240
9 units = $1240/31 × 9$ = Rs.360
Question : 6
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 »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
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
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