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Manav's average earning per month in the first three months of a year was ₹41944. In April, his earning was 50% more than the average earning in the f
Question

Manav's average earning per month in the first three months of a year was ₹41944. 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 ₹63849, then what will be Manav's average earning (in ₹) per month from May to December?

A.

72179

B.

72182

C.

72180

D.

72175

Correct option is C

Given:
Manav's average earning per month in the first three months (January, February, March) = ₹41,944.
In April, his earning was 50% more than the average earning in the first three months.
His average earning per month for the whole year is ₹63,849.
Concept Used:
Total earnings for the year = Average earning per month for the year × 12.
Total earnings for the first four months = Earnings for January, February, March + Earnings for April.
Total earnings from May to December = Total earnings for the year - Total earnings for the first four months.
Average earning from May to December = Total earnings from May to December ÷ 8.
Solution:
Calculate the total earnings for the year:
Total earnings for the year=63,849×12=7,66,188 \text{Total earnings for the year} = 63,849 \times 12 = 7,66,188 \, \text{₹}
Calculate the total earnings for the first four months:
Total earnings for the first three months=41,944×3=1,25,832 \text{Total earnings for the first three months} = 41,944 \times 3 = 1,25,832 \, \text{₹}​​
Earnings for April=41,944+0.5×41,944=62,916 \text{Earnings for April} = 41,944 + 0.5 \times 41,944 = 62,916 \, \text{₹}​​
Total earnings for the first four months=1,25,832+62,916=1,88,748 \text{Total earnings for the first four months} = 1,25,832 + 62,916 = 1,88,748 \, \text{₹}
Calculate the total earnings from May to December:
Total earnings from May to December=7,66,1881,88,748=5,77,440 \text{Total earnings from May to December} = 7,66,188 - 1,88,748 = 5,77,440 \, \text{₹}
Calculate the average earning from May to December:
Average earning from May to December=5,77,4408=72,180 \text{Average earning from May to December} = \frac{5,77,440}{8} = 72,180 \, \text{₹}
Option (c) is right.

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