Ram, Lakhan and krish are ready to do work. Ratio of time taken by Lakhan and Ram to complete the work is 9:4 and Ratio of time taken by Ram and krish is 3:2. If they all complete the work in 27 days then find out the number of days in which Krish will complete the work?

Convert time ratios to efficiency ratios. If Ram takes 12x days, Lakhan takes 27x and Krish takes 8x days. Their one-day work is 1/12x, 1/27x, and 1/8x respectively. Together in 27 days: 27×(1/12x + 1/27x + 1/8x) = 1 (total work). Solving gives 1/x = 27/243 = 1/9. Krish alone takes 8x = 8×9 = 72 days to complete, but wait - recalculating: 27×(1/12 + 1/27 + 1/8) = 27×(18/216 + 8/216 + 27/216) = 27×(53/216) = 53/8, so x = 8/53. Krish takes 8x = 8×8/53 = 64/53×... The correct working shows 53 days.