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    Lalit's average earning per month in the first three months of a year was ₹12544. In April, his earning was 50% more than the average earning in the f
    Question

    Lalit's average earning per month in the first three months of a year was ₹12544. In April, his earning was 50% more than the average earning in the first three months. If his average earning per month for the whole year is ₹41852, then what will be Lalit's average earning (in ₹) per month from May to December?

    A.

    55725

    B.

    55722

    C.

    55719

    D.

    55718

    Correct option is B

    Given:

    Average earning for first 3 months = ₹12544

    April's earning = 50% more than the first three months' average

    Overall yearly average = ₹41852

    Formula Used:

    Total earnings for a period is given by:

    Total Earnings=Average×Number of months\text{Total Earnings} = \text{Average} \times \text{Number of months}

    Solution:

    Total earnings from Jan to Mar:

    =12544×3=37632= 12544 \times 3 = 37632

    April's earning:

    =12544+(50100×12544)=12544+6272=18816= 12544 + \left(\frac{50}{100} \times 12544\right) =12544+6272=18816​​

    Total earnings from Jan to Apr:

    =37632+18816=56448

    Total yearly earnings:

    =41852×12=502224

    Total earnings from May to Dec:

    =502224−56448=445776

    Average earning from May to Dec:

    =4457768=55722= \frac{445776}{8} = 55722

    Thus, option (b) is right.

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