Question

In a wildlife sanctuary, Number of Tigers (T) : Number of Lions (L) = 9:4
If the number of Lions (L) in the sanctuary is 32, then the number of Tigers (T) will be ______

• A. 65
• B. 72
• C. 81
• D. 84

Answer 1

The correct option is B 72

Given,
Number of Tigers (T): Number of Lions (L) = 9:4
Now, number of Lions(L) = 32.
You have to find number of Tigers (T).

You can establish the proportional relationship as:
$9:4::T:32$
You know, product of the means = product of the extremes
so,$4T=9\times 32$
$\Rightarrow T=\frac{9\times 32}{4}$
$\Rightarrow T=9\times 8$
$\Rightarrow T=72$

∴ Number of Tigers (T) = 72