Lalit's average earning per month in the first three months of a year was ₹22272. In April, his earning was 75% more than the average earning in the first three months. If his average earning per month for the whole year is ₹84460, then what will be Lalit's average earning (in ₹) per month from May to December?

Correct option is B

Given:

Average earning per month in the first three months of the year = ₹22,272

In April, his earnings were 75% more than the average earnings in the first three months.

The average earning per month for the whole year (12 months) = ₹84,460

Solution:

Total earnings for first three months = 3 × 22,272 = 66,816

So, the earnings in April will be:

Earnings in April = 22,272 + 0.75 × 22,272 = 22,272 × (1 + 0.75) = 22,272 × 1.75 = 38,976 

Total earnings for the year = 12 × 84,460 = 1,013,520 

Total earnings for January to April = 66,816 + 38,976 = 105,792

Total earnings from May to December = Total earnings for the year − Total earnings for January to April

Total earnings from May to December = 1,013,520 − 105,792 = 907,728

The total number of months from May to December is 8 months. 

​$$\text{Average earnings from May to December} = \frac{\text{Total earnings from May to December}}{8}$$​​

​$$\text{Average earnings from May to December} = \frac{907,728}{8} = 113,466$$ 

Lalit's average earning per month from May to December is ₹113,466. 

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The average earning per month for the entire year is ₹84,460. Therefore, the total earnings for the entire year will be: