High School

Raghav's average earning per month in the first three months of a year was ₹22,560. 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 ₹90,078, then what will be Raghav's average earning (in ₹) per month from May to December?

A) ₹122,423
B) ₹122,427
C) ₹122,430
D) ₹122,428

Answer :

To solve the problem, we need to determine Raghav's average earning per month from May to December.

Step 1: Calculate Raghav's total earnings for the first three months and April.

  1. Raghav's average earning for the first three months is [tex]₹22560[/tex]. Therefore, his total earning for the first three months is:
    [tex]22560 \times 3 = ₹67680[/tex]

  2. In April, his earning was 50% more than the average earning in the first three months:
    [tex]22560 + \frac{50}{100} \times 22560 = 22560 + 11280 = ₹33840[/tex]

  3. Therefore, Raghav's total earning up to the end of April is:
    [tex]67680 + 33840 = ₹101520[/tex]

Step 2: Calculate Raghav's total earnings for the entire year and determine his earnings from May to December.

  1. If the average earning per month for the whole year is [tex]₹90078[/tex], then the total earning for the entire year is:
    [tex]90078 \times 12 = ₹1080936[/tex]

  2. The total earning from May to December (8 months) is:
    [tex]1080936 - 101520 = ₹979416[/tex]

Step 3: Calculate the average earning from May to December.

  1. The average earning per month from May to December is:
    [tex]\frac{979416}{8} = ₹122427[/tex]

Therefore, the answer is 122427, which corresponds to option B.

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