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Manav's average earning per month in the first three months of a year was ₹24328. 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 ₹24328. 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 ₹76867, then what will be Manav's average earning (in ₹) per month from May to December?

A.

101619

B.

101616

C.

101621

D.

101614

Correct option is B

Given:
Manav's average earning per month in the first three months (January, February, March) was ₹24,328.
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 ₹76,867.
We need to find Manav's average earning per month from May to December.
Solution:
Average earning for the first three months = ₹24,328.
Total earnings for the first three months:
3×24,328=72,9843 \times 24,328 = 72,984​​
Earnings in April are 50% more than the average earning in the first three months.
Earnings in April:
24,328+0.5×24,328=1.5×24,328=36,49224,328 + 0.5 \times 24,328 = 1.5 \times 24,328 = 36,492
Calculate total earnings for the first four months:
72,984 (first three months)+36,492 (April)=1,09,47672,984 \, (\text{first three months}) + 36,492 \, (\text{April}) = 1,09,476
Calculate total earnings for the whole year:
Average earning for the whole year = ₹76,867.
Total earnings for the whole year:
12×76,867=9,22,40412 \times 76,867 = 9,22,404
Calculate total earnings from May to December:
Total earnings from May to December:
9,22,404 (whole year)1,09,476 (first four months)=8,12,9289,22,404 \, (\text{whole year}) - 1,09,476 \, (\text{first four months}) = 8,12,928​​
Calculate average earning per month from May to December:
Number of months from May to December = 8.
Average earning:
8,12,9288=1,01,616\frac{8,12,928}{8} = 1,01,616​​

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