Question

If x is 25% of y and y is 50% of z, find x:z

● 1:8
● 3:4
● 1:2
● 3:8​

Answer 1

Answer:

$\frac{25}{100} \times y = \frac{y}{4} = x \\ y = \frac{50}{100} \times z = \frac{z}{2} \\ so \: ratio = 1 \: ratio \: 8$

Answer...........

Answer 2

The value of x:z is 1:8

Given : If x is 25% of y and y is 50% of z.

To find : The value of the ratio x:z

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the ratio x:z)

So, according to the data mentioned in the question,

The value of y = z × 50% = z × 50/100 = z/2

So,

y = z/2

Now, according the data mentioned in the question,

The value of x = y × 25% = (z/2) × (z/2) × (25/100) = z/8

So,

x = z/8

Now, value of the said ratio :

= x:z

= (z/8) : (z)

= (z/8) / (z)

= (z/8) × (1/z)

= 1/8

= 1:8

(This will be considered as the final result.)

Hence, the value of x:z is 1:8