MCQ
If $a : b = 3 : 4$, then $4a : 3b =$
  • A
    $4 : 3$
  • B
    $3 : 4$
  • $1 : 1$
  • D
    None of these.

Answer

Correct option: C.
$1 : 1$

As, $a : b = 3 : 4$
$\Rightarrow\frac{\text{a}}{\text{b}}=\frac34$
So, $\text{4a}:\text{3b}=\frac{4\text{a}}{3\text{b}}$
$=\frac43\times\frac{\text{a}}{\text{b}}$
$=\frac43\times\frac34$
$=\frac{12}{12}$
$=\frac11$
$=1:1$
Hence, the correct alternative is option $(c).$

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