After deducting `60%` from a certain number and then deducting `15%` from the remainder, `1428` is left. What was the initial number ?

Options

A. `4200`
B. `3962`
C. `4150`
D. `4300`

Answer

To solve the problem step by step, let's denote the initial number as \( x \).

### Step 1: Calculate the amount after the first deduction
We start with the initial number \( x \). After deducting \( 60\% \) from \( x \), we are left with:
\[ x - 0.6x = 0.4x \]
This means \( 40\% \) of the initial number remains.