# What will come in place of question mark '?' in the following question?32% of (14% of 1200) = 64% of ?

1. 114
2. 84
3. 72
4. 64
5. 1200

Option 2 : 84

## Detailed Solution

Given expression is,

⇒ 32% of (14% of 1200) = 64% of ?

$$\begin{array}{l} \Rightarrow \frac{{32}}{{100}} \times \left( {\frac{{14}}{{100}} \times 1200} \right) = \frac{{64}}{{100}} \times \;?\\ \Rightarrow \frac{{32}}{{100}} \times \left( {14 \times 12} \right) = \frac{{64}}{{100}} \times \;?\\ \Rightarrow \frac{{32}}{{100}} \times \left( {168} \right) = \frac{{64}}{{100}} \times \;? \end{array}$$

⇒ 32 × 168 = 64 × ?

$$\Rightarrow {\rm{\;}}? = \frac{{32 \times 168}}{{64}} = 84$$

⇒ ? = 84

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