Suppose x : y = 2 : 5; y : z = 4 : 7. If ₹15,120 is distributed among x, y and z, then the amounts received by x, y and z, respectively, are (in ₹):​

Correct option is D

Given:

x : y = 2 : 5

y : z = 4 : 7

Total amount = ₹15,120​

Solution:
Make (y) equal:
x : y = 2 : 5

multiply by 4

x :y = 8 : 20
y : z = 4 : 7

multiply by 5

y : z = 20 : 35

So, x : y : z  =  8 : 20 : 35.
Sum of parts = 8 + 20 + 35 = 63.
Value of 1 part = $$\frac{15120}{63}$$​= 240.

x$$= 8 \times 240 = ₹1{,}920$$​​

y$$= 20 \times 240 = ₹4{,}800$$​​

z$$= 35 \times 240 = ₹8$$​,400