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A sum of X 300 is divided among P, Q and...

A sum of X 300 is divided among P, Q and R in such a way that Q gets X 30 more than P and R gets X 60 more than Q. Then , ratio of their shares is

A

`5:3:2`

B

`2:3:5`

C

`3:2:5`

D

`2:5:8`

Text Solution

Verified by Experts

The correct Answer is:
B
मानाकि P को `₹ x` मिलते है
`therefore Q` को मिलने वाली राशि `=₹(x+30)` तथा
R को मिलने वाली राशि `=₹(x+30+60)`
`=₹(x+90)`
`x+x+30+x+90=300`
`implies 3x=300-120=180`
`implies x=₹60`
P का हिस्सा `=₹60`
Q का हिस्सा `=₹90`
R का हिस्सा `=₹150`
अभीष्ट अनुपात `=60:90:150`
`=4:6:10`
`=2:3:5`
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