Question

y is a% of x.if x is 120% of y .find a
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Answer 1

Step-by-step explanation:

y is a% of x

=> y = (a/100) × x

and, x is 120% of y

=> x = (120/100) × y = 1.2 × y

Therefore, y = (a/100) × (1.2 × y)

y / 1.2y = a/100

a = 100/1.2 = 83.3

Answer 2

Given: y is a% of x and x is 120% of y.

To find: We have to find the value of a.

Solution:

To determine the value of a we have to follow the below steps as follows-

Given that y is a% of x.

So, we can write-

$y = \frac{a}{100} \times x \\ y = \frac{xa}{100}$

Again given that x is 120% of y so, we can write-

$x = \frac{120}{100} y \\ x = \frac{6y}{5}$

Putting the value of x we get-

$y = \frac{6y}{5} \times \frac{a}{100} \\ 500 = 6a \\ a = 83.33$

Thus, the value of a is 83.33.