type 5 shares & partnership based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - 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
Question : 26 [SSC CGL Prelim 2004]
An amount of money is to be distributed among P, Q and R in the ratio of 2 : 7 : 9. The total of P’s and Q’s share is equal to R’s share. What is the difference between the shares of P and Q ?
a) 9000
b) Information inadequate
c) 7500
d) 5000
Answer »Answer: (b)
Let the amount to be distributed be Rs.x.
P : Q : R = 2 : 7 : 9
Sum of the ratios = 2+7 + 9 = 18
P = $2/18 × x = x/9$
Q = $7/18$ x
R = ${9x}/18 = x/2$
As given,
$x/9 + {7x}/18 = x/2$
Thus, we get no conclusion.
Amount should necessarily be known.
Question : 27 [SSC CGL Prelim 1999]
Divide 1250 among A, B, C, so that A gets 2 9 of B’s share and C gets 3 4 of A’s share.
a) 150, 800, 300
b) 200, 900, 75
c) 200, 900, 150
d) 200, 800, 250
Answer »Answer: (c)
A = B × $2/9 = {2B}/9$
$C= {3A}/4 ; A = 4/3C$
Ratio of A : B : C = 4 : 18 : 3
Share of A = $4/25 × 1250$ = Rs.200
Share of B = $18/25 × 1250$ = Rs.900
Share of C = $3/25 × 1250$ = Rs.150
Question : 28
180 are to be divided among 66 persons (men and women). The ratio of the total amount of money received by men and women is 5 : 4. But the ratio of the money received by each man and woman is 3 : 2. The number of men is
a) 30
b) 36
c) 24
d) 20
Answer »Answer: (a)
Suppose amount received by men = 5x.
and amount received by women = 4x
According to question
5x + 4x = 180
9x = 180 ⇒ x = 20
Amount received by men = Rs.100
Amount received by women= Rs.80
Suppose the number of men be y and that of women be (66 - y).
According to question
${100/y}/{80/{66 - y}} = 3/2$
$100/y × {66 - y}/80 = 3/2$
${5(66 - y)}/{4y} = 3/2$
660 - 10y = 12y
22y = 660 ⇒ y = 30
Question : 29 [SSC SAS 2010]
600 are divided among A, B and C so that 40 more than 2 5 of A’s share, 20 more than 2 7 of B’s share and 10 more than 9 17 of C’s share are all equal. A’s share is
a) 150
b) 140
c) 160
d) 180
Answer »Answer: (a)
$2/5A + 40 = 2/7B + 20$
= $9/17 C + 10 = x$
A = $5/2(x - 40)$, B = $7/2(x - 20)$
and, C = $17/9(x -10)$
$5/2(x - 40) + 7/2(x - 20) + 17/9(x -10)$ = 600
x = 100
A’s share
= Rs.$5/2$(100 - 40) = Rs.150
Question : 30 [SSC CGL Tier-I 2013]
700 is divided among A, B, C in such a way that the ratio of the amount of A and B is 2 : 3 and that of B and C is 4 : 5. Find the amount (in ) each received, in the order A, B, C.
a) 150, 250, 290
b) 150, 240, 310
c) 160, 240, 300
d) 150, 250, 300
Answer »Answer: (c)
A : B = 2 : 3 = 8 : 12
B : C = 4 : 5 = 12 : 15
A : B : C = 8 : 12 : 15
Sum of ratios = 35
A’s share = $8/35 × 700$ = Rs.160
B’s share = $12/35 × 700$ = Rs.240
C’s share = $15/35 × 700$ = Rs.300
IMPORTANT quantitative aptitude EXERCISES
-
199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
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Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
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159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
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199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
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259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
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199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
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