The amount of $ 1180 is divided among X, Y and Z in such a way that 5 times of the amount that X receives, 6 times of the amount that Y receives and 8 times of the amount that Z receives are one and the same. Find the amount received by each of the X, Y and Z.
The amount of $ 1180 is divided among X, Y and Z in such a way that 5 times of the amount that X receives, 6 times of the amount that Y receives and 8 times of the amount that Z receives are one and the same. Find the amount received by each of the X, Y and Z.
a. X = $ 480, Y = $ 400, Z = $ 300
b. X = $ 450, Y = $ 430, Z = $ 300
c. X = $ 300, Y = $ 480, Z = $ 400
d. X = $ 480, Y = $ 300, Z = $ 400
e. None of the above
Your Correct answer: a
Explanation:
Let the amount received by X, Y and Z be equal to x, y and z respectively.
ā“ According to the question, 5x = 6x = 8x ā¦ā¦ā¦ā¦.i
Because it is given that 5 times of the amount that X receives, 6 times of the amount
that Y receives and 8 times of the amount that Z receives are one and the same.
The total amount = $ 1180
ā“ We can say that, x + y + z = 1180 ā¦ā¦ā¦ā¦..ii
Using equation I and ii we can say that,
(x/24) + (y/20) + (z/15) = 1180/59
ā“ x = $ 480
Y = $ 400
And z = $ 300
Hence, the correct answer is option a.
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