Question

2. If 5% increase in x means 3% increase in y and
5% increases in y means 2.5% increase in z
then, Relationship between X and Z could be
(a) 1.05X = 1.025z (b) 0.5X = 0.25z
(c) 25X = 7.5z (d) 250X = 213z
​

Answer 1

Answer:

No option is correct the correct answer is 0.05x =0.025z

Because 5%x means 5 divided by 100 ☓ x

That meat 0.05. similarly, that one also.

Answer 2

Correct question: If a 5% increase in x means a 3% increase in y and a 5% increase in y means a 2.5% increase in z then, the relationship between X and Z could be

(a) 1.05X = 1.025z (b) 10X = 3z (c) 25X = 7.5z (d) 250X = 213z​

Answer:

The relation between x and z is $10x=3z$ (Option b).

Given,

5% increase in x means a 3% increase in y and a 5% increase in y means a 2.5% increase in z.

To Find,

The relationship between X and Z.

Solution,

The method of finding the relationship between X and Z is as follows -

The statement "5% increase in x means a 3% increase in y" implies that $\frac{5}{100}x=\frac{3}{100}y$  ⇒  $5x=3y$  ⇒  $y=\frac{5x}{3}$ .

Similarly, the statement "5% increase in y means 2.5% increase in z" implies that $\frac{5}{100} y=\frac{2.5}{100} z$  ⇒  $5y=2.5z$  ⇒  $2y=z$.

Now in the relation of y and z, we will put the relation of y and x.

$2*\frac{5x}{3} =z$ ⇒  $\frac{10}{3} x=z$  ⇒  $10x=3z$.

Hence, the relation between x and z is $10x=3z$.

#SPJ2