Amount Calculation Using Percentages

Let the total amount be represented by '$A$'. The problem states that 60% of 40% of 32% of this amount is equal to ₹432.

We can write this relationship as a mathematical equation:

$ 60\% \times 40\% \times 32\% \times A = 432 $

First, convert the percentages to their decimal forms:

• $60\% = \frac{60}{100} = 0.60$
• $40\% = \frac{40}{100} = 0.40$
• $32\% = \frac{32}{100} = 0.32$

Substitute these decimal values back into the equation:

$ 0.60 \times 0.40 \times 0.32 \times A = 432 $

Now, multiply the decimal coefficients:

$ (0.60 \times 0.40) \times 0.32 \times A = 432 $

$ 0.24 \times 0.32 \times A = 432 $

$ 0.0768 \times A = 432 $

To find the amount '$A$', divide ₹432 by the combined decimal value (0.0768):

$ A = \frac{432}{0.0768} $

To simplify the division, we can multiply the numerator and the denominator by 10000 to remove the decimal:

$ A = \frac{432 \times 10000}{0.0768 \times 10000} = \frac{4320000}{768} $

Perform the division:

$ A = 5625 $

Therefore, the total amount is ₹5,625.