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    Raghav’s average earning per month in the first three months of a year was Rs.45.000. In April. his earning was 331333 \frac{1}{3}3331​​% more than the
    Question

    Raghav’s average earning per month in the first three months of a year was Rs.45.000. In April. his earning was 331333 \frac{1}{3}​% more than the average earning in the first three months. If his average earning per month for the whole year is Rs.45.300. then what will be Raghav’s average earning (in Rs.) per month from May to December?

    A.

    ₹43,450

    B.

    ₹43,580

    C.

    ₹43,425

    D.

    ₹43,575

    Correct option is D

    Given:

    Raghav’s average monthly income in first three months = ₹45000

    His income in month of April = 331333\frac{1}{3}​% more than average of three months

    Total average of whole year = ₹45300

    Formula Used:

    Average =Sum of obsrvationsNumber of observations= \frac{Sum \ of \ obsrvations}{Number\ of \ observations}​​

    Solution:

    Total income of Raghav in three months = 45000 ×\times​ 3 = ₹135000

    Income in April = 45000+1003% of 45000 45000 + \frac{100}{3}\% \ of \ 45000  = ₹60,000

    Total salry of whole year = 45300 ×\times​ 12 = ₹543600

    Total salary from May to December = 543600 - (135000 + 60000) = ₹348600

    Average salary from May to December =3486008=43,575 \frac{348600}{8} =₹43,575​​

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