If 1190 has been divided among X Y and Z Such that X gets 2 3 of what Y gets and Y gets 1 4of w...........

Quantitative Aptitude (CDS) Simplification

If 1190 has been divided among X, Y and Z.Such that X gets 2/3 of what Y gets and Y gets 1/4of what Z gets .X's share is?

Total value is =1360
X=2/3 Y
Y=1/4Z
X+Y+Z=1190
X+3/2 x+4y=1190
5/2 x+4×3/2X=1190
5X+12X=1190×2
17X=1190×2
X=7×2
X=14

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