Question

A report consist of $20$ sheets of $56$ lines and each such line consists of $65$ characters. The report is reduced into sheets each of $65$ lines such that line consists of $70$ characters. What is the percentage reduction in the number of sheets?

• A. $20\%$
• B. $30\%$
• C. $15\%$
• D. $25\%$

Answer 1

The correct option is A $20\%$

Let the new number of sheets be $x$.

Then, $20\times 56\times 65\times =x\times 65\times 70\Rightarrow x=\frac{20\times 56\times 65}{65\times 70}=16$
$\therefore$ Percentage reduction in number of sheets=$\frac{(20-16)}{20}\times 100\%=20\%$.