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​If 1.5X = 0.05Y, then the value of Y−XY+X\frac{Y-X}{Y+X}Y+XY−X​​ is closest to: ​
Question

If 1.5X = 0.05Y, then the value of YXY+X\frac{Y-X}{Y+X}​ is closest to:

A.

0.5

B.

0.194

C.

0.935

D.

0.94

Correct option is C

Given:

1.5X = 0.05Y

Solution:

Solve for Y:

Divide both sides of the equation by 0.05:

Y = 1.5X0.05\frac{1.5X} {0.05}​​

Y = 30X

Substitute Y in the expression YXY+X\frac{Y-X}{Y+X}​:

30XX30X+X\frac{30X-X}{30X+X} = 29X31X\frac {29X}{31X} = 2931\frac {29}{31}= 0.935

Therefore, the value of  YXY+X\frac{Y-X}{Y+X}​ is closest to 0.935.

Thus, correct answer is option (c).

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