‘P’ and ‘Q’ together can complete an analysis in

Solution

Let the total amount of work = 120 units (LCM of 40 and 30) Work done by ‘P’ and ‘Q’ together in one day = 120 / 40 = 3 units Work done by ‘Q’ and ‘R’ together in one day = 120 / 30 = 4 units Work done by ‘P’ and ‘Q’ together in 35 days = 35 × 3 = 105 units Remaining work = 120 - 105 = 15 units Efficiency of ‘R’ = 15 / 5 = 3 units per day Efficiency of ‘Q’ = 4 - 3 = 1 unit per day Efficiency of ‘P’ = 3 – 1 = 2 units per day Share of ‘P’ = (2 / (2 + 1 + 3)) × 1000 = 2/6 × 1200 = Rs 400