Question

Rs. 11.550 has to be divided between X, Y and Z, such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much does Z get over X (in Rs.)?​

Answer 1

Answer:

Z gets 15/8 of X

Step-by-step explanation:

The total amount = 11.550 rupees

Let the amount got by X is x

Let the amount got by Y is y

Let the amount got by Z is z

Given that,

 X gets 4/5 of  Y

  ∴ x = (4/5) × y     →(1)

Y gets 2/3 of  Z

   ∴ y = (2/3) × z    →(2)

Substitute (2) in (1),

 x =  (4/5) × (2/3) × z = (8/15) × z

z = 15/8 × x

Therefore, Z gets 15/8 of X