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Miscellaneous·2022·Easy

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?

Options

  1. a.

    z < x < y

    Correct answer
  2. b.

    x < y < z

  3. c.

    y < x < z

  4. d.

    z < y < x

Explanation

To simplify, we write percentages in decimal form, 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 z …..(ii) From (i) and (ii), we get: z < x < y

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