Copier P prints at a rate of 84 letters in every 2 minutes and Copier Q prints at a rate of 120 letters in every 6 minutes. At 6 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 9 p.m., the total number of letters printed during the past three hours was 6593. 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 = 84 ÷ 2 = 42
Number of letters Copier Q prints per min = 120 ÷ 6 = 20

From 6 p.m. to 9 p.m. = 3 h
1 h = 60 min
3 h = 180 min

Number of letters printed by Copier Q in 6 h
= 180 x 20
= 3600

Number of letters printed by Copier P in 6 h
= 6593 - 3600
= 2993

Percentage of the number of letters that Copier P printed over the total number of letters printed
= ²⁹⁹³₆₅₉₃ x 100%
≈ 45.40%

Answer(s): 45.40%