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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?

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? Correct Answer z < x < y

Calculation:

Let there are three numbers x, y and z.

70% x + y = 165% y

70x + 100y = 165y

70x = 65y

14x = 13y

x/y = 13/14

60% x + z = 165% z

60x + 100z = 165z

60x = 65z

12x = 13z

x/z = 13/12

So, we get x = 13, y = 14, z = 12.

y > x > z

Hence, option 1 is correct.

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