x : y : z = 1/2 : 1/3 : 1/4. what is the value of (x + z -y)/y?

Previously Asked in : Gate CE-afternoon season 2022 ||

1.25

0.75

2.25

3.25

Answer (Detailed Solution Below)

Option 1.25 is correct

Detailed Solution :

let x = \dfrac{A}{2} \, ; \, y = \dfrac{A}{3} \, ; \, z = \dfrac{A}{4}

\therefore \textrm{value of}

\dfrac {x + z -y} {y} = \dfrac{\frac{A}{2} + \frac {A}{4} - \frac{A}{3}}{\frac{A}{3}}

\dfrac {5A}{12} \times \dfrac{3}{A} = \dfrac {5}{4}

which is equal to 1.25

Correct option is: 1.25

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