A report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. This report is reduced onto sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closer to

Answer: Option A

Let x be the page required when report is retyped
Now, we can use work equivalence method
20 × 55 × 65 = 70 × 65 × x
Or, x = $$\frac{20\times 55\times 65}{70\times 65}$$
Or, x = 15.70 = 16 pages.
Hence, % reduction in pages = $$\left(20-16\right)\times \frac{100}{20}$$   $$=$$ $$20\%$$