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If 1.5x = 0.04y, find the value of (y - x)/(y + x).
Question

If 1.5x = 0.04y, find the value of (y - x)/(y + x).

A.

0.73/77

B.

73/77

C.

73/770

D.

730/77

Correct option is B

36.5x38.5x=36.538.5\frac{36.5x}{38.5x} = \frac{36.5}{38.5}​​

Solution:

We are given:
1.5x = 0.04y
We need to find the value of  yxy+x\frac{y - x}{y + x} ​​
From the given equation:
1.5x = 0.04y
Dividing both sides by 0.04:
y=1.5x0.04=37.5xy = \frac{1.5x}{0.04} = 37.5x​​
Now, substitute  y = 37.5x  into the expression   yxy+x:\frac{y - x}{y + x} :​​
yxy+x=37.5xx37.5x+x=36.5x38.5x\frac{y - x}{y + x} = \frac{37.5x - x}{37.5x + x} = \frac{36.5x}{38.5x}​​

Thus, the value of yxy+x \frac{y - x}{y + x}​ is:
36.538.5\frac{36.5}{38.5}​​
\yxy+x=7377\frac{y - x}{y + x} = \frac{73}{77}​​

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