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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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