Question 7

90% of X = 40% of Y and Y = a% of X. What is the value of a?

Solution

Given : $$90\%$$ of $$X$$ = $$40\%$$ of $$Y$$

=> $$90X=40Y$$

=> $$\frac{Y}{X}=\frac{9}{4}$$ --------------(i)

$$\therefore$$ $$Y=a\%$$ of $$X$$

=> $$\frac{Y}{X}=\frac{a}{100}$$

=> $$a=\frac{9}{4}\times100=225$$

=> Ans - (A)

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