Question

The ratio of Sunil’s height to Sanjay’s height is 4:5. If Sunil’s height is 152 cm, then what would be Sanjay’s height?
A) 185 cm
B) 180 cm
C) 190 cm
D) 195 cm

Answer 1

Hint: Assume a constant multiplying factor for the ratio most likely a variable like and then proceed with the conditions given in the question

Complete step-by-step answer:
As this a question of ratio proportion we assume a constant multiplying factor for the ratio. Let us take the factor to be $x$.
Therefore, we can say that Sunil’s height = $4 \times x = 4x$ cm
Sanjay’s height = $5 \times x = 5x$cm
According to the question we know that Sunil’s height is 152 cm
$\begin{gathered}
  4x = 152 \\
  x = 38 \\
\end{gathered} $
Now we have the value of the constant multiplying factor which is 38. We can now find Sanjay’s height. We know that Sanjay’s height is $5x$cm.
Now we have the value of the constant multiplying factor, so we can easily find out Sanjay’s height
Sanjay’s height = $5x = 5 \times 38 = 190$ cm.
Therefore, Sanjay’s height is 190 cm and so the correct option is Option C.

Note: This is a relatively easy sum for the topic of ratio proportion. Not much of a concept or calculation is involved in this particular. One who is good at mental math can orally solve .But the only thing to keep in mind is to read the question properly. In many questions the conditions might not be straightforward.