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    Question

    The average wage of a group of 44 labourers is Rs. 250.

    If 4 persons receiving average wage of Rs. 275 leave the group and 2 persons receiving average wage of Rs. K join the group, then the average wage of the group increases by Rs. 48. Find the value of β€˜K’.
    A 1208 Correct Answer Incorrect Answer
    B 1108 Correct Answer Incorrect Answer
    C 1308 Correct Answer Incorrect Answer
    D 1008 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total wage of 44 labourers in the initial group = 44 Γ— 250 = Rs. 11000 New average wage of the group = 250 + 48 = Rs. 298 New number of labourers in the group = 44 – 4 + 2 = 42 So, according to the question, 11000 – 4 Γ— 275 + 2K = 298 Γ— 42 Or, 11000 – 1100 + 2K = 12516 Or, 9900 + 2K = 12516 Or, 2K = 12516 – 9900 = 2616 Or, K = (2616/2) = 1308

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