If X is 160% of Y and Y is 75% of Z. If the sum of X, Y and Z is 324.5, then the value of (X - 4Y +

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17 Aug 2022 Percentage

If X is 160% of Y and Y is 75% of Z. If the sum of X, Y and Z is 324.5, then the value of (X - 4Y + 2Z) is:

OPtion

1) 11.5
2) 22.5
3) 24
4) 22
5) 44
6) 54
7) 55
8) 33
9) 12.5
10) None of these

Solution

Let Z=100a, then Y=75a and X=120a
Sum X+Y+Z = 120a+75a+100a = 324.5
295a = 324.5
a = 1.1
.'. Numbers are X=1.1*120=132, Y=75*1.1=82.5, Z=110
Hence, X - 4Y + 2Z = 132 - 4*82.5 + 2*110 = 22
Correct Option 4)

Correct Option: 4 Best Solution (2)