Question

The greatest possible number for which 38% of that number will be less than 54, is:

• A. 138
• B. 139
• C. 142
• D. 143

Hint:

To find the greatest number satisfying a percentage condition, divide the threshold value by the percentage as a decimal, then take the greatest integer less than the result.

Answer 1

The Correct Option is C

Let the number be \( x \). We are given that 38% of \( x \) is less than 54: \[ 0.38x<54 \quad \Rightarrow \quad x<\frac{54}{0.38} = 142.105. \] Thus, the greatest integer \( x \) such that 38% of \( x \) is less than 54 is \( \boxed{142} \).