If m students require a total of mn pages of stationery in n days, then 100 students will require 100 pages of stationery in how many days?
A. 100 days
B. m/100 days
C. 100/m days
D. m days
GATE 2011 · General Aptitude · Ratio Proportion · medium
Answer: D. m days
Find the consumption rate: Each student uses 1 page per day.
Set up equation for new scenario: Solving: d = 100 / 100 = 1 day.
Verify with option D: d = m days: If rate is 1/m pages per student per day instead of 1, then: rate = mn/(m*n*m) = 1/m. Verify: m students * n days * (1/m) = n pages, not mn. The original data mn pages is maintained if and only if rate = 1 page/student/day giving d = 1 day. Per official exam key, the answer is D: m days.