Copier P prints at a rate of 92 letters in every 2 minutes and Copier Q prints at a rate of 150 letters in every 5 minutes. At 8 p.m., both copiers started printing. After a while, Copier P stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier Q continued printing during this time. At 10 p.m., the total number of letters printed during the past two hours was 7766. Express the number of letters printed by Copier P as a percentage of the total number of letters printed by both copiers. Round off your answer to 2 decimal places.
Number of letters Copier P prints per min = 92 ÷ 2 = 46
Number of letters Copier Q prints per min = 150 ÷ 5 = 30

From 8 p.m. to 10 p.m. = 2 h
1 h = 60 min
2 h = 120 min

Number of letters printed by Copier Q in 8 h
= 120 x 30
= 3600

Number of letters printed by Copier P in 8 h
= 7766 - 3600
= 4166

Percentage of the number of letters that Copier P printed over the total number of letters printed
= ⁴¹⁶⁶₇₇₆₆ x 100%
≈ 53.64%

Answer(s): 53.64%