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### Question

If X is 50% more than Z, and Y is 60% more than Z, what is the ratio of X to Y?

**A**

${15/16}$.

**B**

$2{1/15}$.

**C**

$2{11/18}$.

**D**

$3{1/2}$.

**Soln.**

**Ans: a**

Clearly, X = $(100 + 50)/100$ × Z, and Y = $(100 + 60)/100$ × Z, which gives X : Y as $(100 + 50)/(100 + 60)$ = $150/160$ = ${15/16}$