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) 600, 800, 1,200
(b) 800, 600, 1,200
(c) 1,200, 800, 600
(d) 1,200, 600, 800
The correct answers to the above question in:
Answer: (c)
A : B : C = $1/2 : 1/3 : 1/4$
= $1/2 × 12 : 1/3 × 12 : 1/4 × 12$
[LCM of 2, 3 and 4 = 12]
= 6 : 4 : 3
A's share = $6/13$ × 2600 = Rs.1200
B's share = $4/13$ × 2600 = Rs.800
C's share = $3/13$ × 2600 = Rs.600
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Read more shares and partnership based ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
68000 is divided among A, B and C in the ratio of 1 2 1 4 5 16 : : . The difference of the greatest and the smallest part is :
a) 9200
b) 16000
c) 14440
d) 6000
Answer »Answer: (b)
Ratio = $1/2 : 1/4 : 5/16$
= 8 : 4 : 5
Sum of ratios = 8 + 4 + 5 = 17
Required answer
= Rs.$({8 - 4}/17) × 68000$
= Rs.$4/17 × 68000$ = Rs.16000
Question : 2
If 126.50 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by
a) 34.50
b) 33.50
c) 35.50
d) 36.50
Answer »Answer: (a)
A : B : C = 2 : 5 : 4
Sum of ratios = 2 + 5 + 4 = 11
Difference
= $(5/11 - 2/11) × 126.50$
= $3/11 × 126.50$ = Rs.34.50
Question : 3
A sum of 76 is divided among A, B and C in such a way that A gets 7 more than that what B gets and B gets 6 more than what C gets. The ratio of their shares is
a) 32 : 24 : 20
b) 19 : 25 : 33
c) 32 : 25 : 19
d) 19 : 24 : 33
Answer »Answer: (c)
B’s share = Rs.b
A’s share = Rs.(b + 7)
C’s Share = Rs.(b - 6)
b + b + 7 + b - 6 = 76
3b = 76 - 1 = 75
b = Rs.25
A’s share = 25 + 7 = Rs.32
C’s share = 25 - 6 = Rs.19
Required ratio = 32 : 25 : 19
Question : 4
2010 are to be divided among A, B and C in such a way that if A gets 5 then B must get Rs. 12 and if B gets 4 then C must get 5.50. The share of C will exceed that of B by
a) 360
b) 270
c) 430
d) 620
Answer »Answer: (b)
According to the question,
A : B = 5 : 12 = 10 : 24
B : C = 4 : 5.50 = 24 : 33
A : B : C = 10 : 24 : 33
Sum of the ratios
= 10 + 24 + 33 = 67
Difference between the shares of C and B
= Rs.$({33 - 24}/67 × 2010)$
= Rs.$(9/67 × 2010)$ = Rs.270
Question : 5
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 : 6
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
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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