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    Subject

    Quantitative Aptitude

    Topic

    Algebra

    5 boys and 5 girls earn Rs. 660 in 3 days. 10 boys and 20 girls earn Rs. 3500 in 5 days. In how many days can 6 boys and 4 girls earn Rs. 1060?

    ক)
    5 days
    খ)
    10 days
    গ)
    6 days
    ঘ)
    12 days
    ঙ)
    None of these

    Explanation

    Let amount of money earned by boys and girls in 1 day = ‘a’ and ‘b’ respectively, Then, ⇒ 3 × (5a+ 5b) = 660 ⇒ 5a + 5b = 220 ⇒ a + b =  44            -----------[1] Now, ⇒ 5 × (10a + 20b) = 3500 ⇒ 10a + 20b = 700 ⇒ a + 2b= 70            ------------[2] Solving equations [1] & [2] we get, ⇒ b = 26 and a = 18. Now let number of days 6 boys and 4 girls are made to work = N days, Then, ⇒ N × (6 × 18 + 4 ×26) = 1060 ⇒ N × (108 + 104) = 1060 ⇒ N × 212 = 1060 ⇒ N = 5 days. Hence, 6 boys and 4 girls can earn 1060 rupees in 5 days.

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