When 70 of a number x is added to another number y the sum becomes 165 of the value of y When 60 of ...........

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When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number z, then the sum becomes 165% of the value of z. which one of the following is correct?

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z < x < y

x < y < z

y < x < z

z < y < x

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Explanation:

According to the question,
0.7 x + y = 1.65 y
Or 0.7 x = 0.65 y
Or x/y = 0.65/0.70, which is less than 1.
Hence, x < y …..(i)
Now, 0.6 x + z = 1.65 z
Or 0.6 x = 0.65 z
Or x/z = 0.65/0.60, which is greater than 1.
Hence, x > z …..(ii)
From inequalities (i) and (ii), we get:
z < x < y