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### Question

If X is 70% more than Z, and Y is 10% more than Z, what is the ratio of X to Y?

**A**

$1{6/11}$.

**B**

$2{4/5}$.

**C**

${6/13}$.

**D**

$3{11/13}$.

**Soln.**

**Ans: a**

Clearly, X = $(100 + 70)/100$ × Z, and Y = $(100 + 10)/100$ × Z, which gives X : Y as $(100 + 70)/(100 + 10)$ = $170/110$ = ${17/11}$, which is same as: $1{6/11}$