MCQ
If $2x = 3y$ and $4y = 5z$, then $x : z =$
- A$4 : 3$
- B$8 : 15$
- C$3 : 4$
- ✓$15 : 8$
✓
Answer
Correct option: D.
$15 : 8$
As, $\text{2x}=3\text{y}$
$\Rightarrow\frac{\text{x}}{\text{y}}=\frac32$
And, $\text{4y}=\text{5z}$
$\Rightarrow\frac{\text{y}}{\text{z}}=\frac54$
Now, $\text{x}:\text{z}=\frac{\text{x}}{\text{z}}$
$=\frac{\text{xy}}{\text{yz}}$
$=\frac{\text{x}}{\text{y}}\times\frac{\text{y}}{\text{z}}$
$=\frac32\times\frac54$
$=\frac{15}{8}$
$=15:8$
Hence, the correct alternative is option $(d).$
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