Question

If M = y% of z and B = z% of y, then which of the following must be true?

A. M is lesser than N.

B. M is more than N

C. Relation between M and N cannot be determined.

D. None of these​

Answer 1

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Answer 2

If M = y% of z and N = z% of y, then M = N

Given :

M = y% of z and N = z% of y

To find :

The correct option is

A. M is lesser than N.

B. M is more than N

C. Relation between M and N cannot be determined.

D. None of these

Solution :

Step 1 of 2 :

Find M and N

Here it is given that M = y% of z and N = z% of y

$\displaystyle \sf{M = z \times \frac{y}{100} = \frac{yz}{100} }$

$\displaystyle \sf{N = y \times \frac{z}{100} = \frac{yz}{100} }$

Step 2 of 2 :

Choose the correct option

From above we see that

$\displaystyle \sf{ M = N = \frac{yz}{100} }$

Hence the correct option is D. None of these

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