60% of 40% of 32% of an amount is ₹432. What is the amount (in ₹)?​

Correct option is C

Given:

60% of 40% of 32% of an amount is ₹432

Solution:

Let x be the amount then,

​$$\begin{aligned}&60\% \text{ of } 40\% \text{ of } 32\% \text{ of } x = \text{Rs. } 432 \\&\implies \left(\frac{60}{100} \times \frac{40}{100} \times \frac{32}{100}\right)x = 432 \\&\implies [0.60 \times 0.40 \times 0.32] \times x = 432 \\&\implies 0.0768 \times x = 432 \\&\implies x = \frac{432}{0.0768} = \text{Rs. } 5625 \\\end{aligned}$$

Therefore, the amount is 5625.