Question 55

If 45% of (X -Y) = 30% of (X + Y), then what percent of X is Y?

Solution

If 45% of (X -Y) = 30% of (X + Y).

$$\frac{45}{100}\times(X-Y)=\ \frac{30}{100}\times\ (X+Y)$$

$$3\times(X-Y)=\ 2\times\ (X+Y)$$

3X - 3Y = 2X + 2Y

3X - 2X = 2Y + 3Y

X = 5Y    Eq.(i)

Let's assume Z% of X is Y.

Z% of X = Y

Put Eq.(i) in the above equation.

Z% of 5Y = Y

$$Z\times\frac{5}{100}=1$$

$$Z\times\frac{1}{20}=1$$

Z = 20%


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