Question

A report has 20 sheets, each with 55 lines of 65 characters. It's retyped on pages of 65 lines and 70 characters per line. What is the percentage reduction in sheets?

• A. 20
• B. 5
• C. 30
• D. 35

Hint:

Convert both versions to total character count, then compare using floor or ceiling.

Answer 1

The Correct Option is A

Old layout: - Sheets = 20 - Lines per sheet = 55 - Characters per line = 65 \[ \text{Total characters} = 20 \times 55 \times 65 = 71500 \] New layout: - 65 lines per sheet - 70 characters per line - Characters per sheet = \( 65 \times 70 = 4550 \) Required sheets = \( \frac{71500}{4550} \approx 15.7 16 \text{ sheets} \) Reduction in sheets: \[ 20 - 16 = 4 \text{Percentage} = \frac{4}{20} \times 100 = \boxed{20%} \]