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Numerical Ability
Ratio and Proportion
Three partners X,Y, Z start the business. Y's capital has been four times Z's capital also twice X's capital has been equal to three time Y's capital. In case total profit has been Rs. 16500 at end of the year. Find out Y's share in it.
Read Solution (Total 9)
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- Rs. 6000
Y=4Z ---(i) and
2X=3Y =>Y= 2X/3 ---(ii)
To get the ratio of X, Y, Z we can represent Y and Z in terms of X.
From (i) & (ii), 2X/3 = 4Z => Z=X/6
So X : Y : Z = X : 2X/3 : X/6 = 6 : 4 : 1
So Y's share in Rs. 16500 = (4/11)*16500 =Rs. 6000 - 7 years agoHelpfull: Yes(23) No(0)
- y=4z,2x=3y
x+y+z=16500
(3y/2)+(y)+(y/4)=16500
y=6000 - 7 years agoHelpfull: Yes(4) No(0)
- y=4z
2x=3y
i.e., x:y:z=3:2:1
total profit=16500
16500/(2+3+1)=2750
y=2*275=
y's share is 5500 - 7 years agoHelpfull: Yes(0) No(16)
- Y= 4Z
2X = 3Y
=> 2X = 3×4Z
=> X = 6Z
therefore, x:y:z = 6z:4z:z
= 6:4:1
Now, y's share in profit==>
4/(6+4+1) × 16500 = 6000 - 7 years agoHelpfull: Yes(0) No(0)
- According to the given information we have
X:Y:Z = 6z:4z:z
So for y
(4z/11z)*16500=6000 - 7 years agoHelpfull: Yes(0) No(0)
- Given y=4z or z=(y/4)
2x=3y or y=(2/3)x or x=(3/2)y
y=4z or z=y/4
Also given x+y+z=16500
x+(2/3x)+(x/6)=16500
Therefore 11x= 99000 or x=9000
Similarly, y=(2/3)x=(2/3)*9000=6000
z=y/4=6000/4=1500 - 6 years agoHelpfull: Yes(0) No(0)
- y=4z
2x=3y
y=2/3x
subs y value in 1
y=4z
2/3x=4z
z=x/6
on solving all the equation we can able to find that the ratio was
6:4:1
16500*(4/11)=6000. - 6 years agoHelpfull: Yes(0) No(0)
- Ans : 6000
after calculating all given statements we get X=6a,Y=4a,Z=a and given total profit is 16500 by doing 6a+4a+a=16500 we get a=1500
from that we can get Y's share asY=4*1500=6000. - 5 years agoHelpfull: Yes(0) No(0)
- 6000
Y=4z
2X=3Y =>Y= 2X/3 ---(ii)
To get the ratio of X, Y, Z we can represent Y and Z in terms of X.
From (i) & (ii), 2X/3 = 4Z => Z=X/6
So X : Y : Z = X : 2X/3 : X/6 = 6 : 4 : 1
So Y's share in Rs. 16500 = (4/11)*16500 =Rs. 6000 - 5 years agoHelpfull: Yes(0) No(0)
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