πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!

    Question

    β€˜D’ and β€˜E’ can complete a project in 40 days,

    while β€˜E’ and β€˜F’ can complete it in 60 days. β€˜D’ and β€˜E’ worked together on it for 30 days and then β€˜F’ alone completed the remaining work in 20 days. If β€˜D’, β€˜E’, and β€˜F’ started the project and worked together till its completion for which they received Rs. 1800 as total wage, then the share of β€˜D’ out of the total wage will be:
    A Rs 800 Correct Answer Incorrect Answer
    B Rs 900 Correct Answer Incorrect Answer
    C Rs 1000 Correct Answer Incorrect Answer
    D Rs 1200 Correct Answer Incorrect Answer
    E Rs 1500 Correct Answer Incorrect Answer

    Solution

    Let the total amount of work = 240 units (LCM of 40 and 60) Work done by β€˜D’ and β€˜E’ together in one day = 240 / 40 = 6 units Work done by β€˜E’ and β€˜F’ together in one day = 240 / 60 = 4 units Work done by β€˜D’ and β€˜E’ together in 30 days = 30 Γ— 6 = 180 units Remaining work = 240 - 180 = 60 units Efficiency of β€˜F’ = 60 / 20 = 3 units per day Efficiency of β€˜E’ = 4 - 3 = 1 unit per day Efficiency of β€˜D’ = 6 – 1 = 5 units per day Share of β€˜D’ = (5 / (5 + 1 + 3)) Γ— 1800 = 5/9 Γ— 1800 = Rs 1000

    Practice Next
    More Alligation Questions

    Relevant for Exams:

    ask-question