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 ?

A. 4000

B. 5000

C. 6000

D. 9000

Answer : C. 6000

Explanation:

Y = 4Z — (i)
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

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