Question 79

Rs 11,550 has to be divided between X, Y & Z such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much more does Z get over X (in Rs)?

Solution

given X=(4/5)Y
Y=(2/3)Z
Z=(3/2)*(5/4)Y
Z=15X/8
X+Y+Z=11550
X+(5/4)X+15X/8 =11550
33X/8 =11550
X=11550*8/33
X=2800
Z=15X/8
Z gets 7X/8
=7*2800/8
=2450

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