Question

51. The average earning of a group of eight persons is Rs 25 per day. The difference between the highest earning
and lowest earning in the group is Rs 45. If person having highest and lowest earning are excluded the
average earning of the group decreased by Rs 2. 5. Find the average earning of the group when the three
persons whose sum of earings are equal to the highest earning of the group, left the group?
1. Rs 29
2. Rs 28.5
3. Rs 30
4. Rs 29.5
5. Rs 30.5​

Answer 1

Answer:

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Step-by-step explanation:

Let the number of person with salary below Rs.10000 be x and their salary be A

Then total income =xA

the number of person with salary above Rs.10000 be y and their salary be B

Then total income =yB

xB>xA (given)

Average income =

x+y

xA+yB

When salary of both gropus is decreased by 5%

Average income =

x+y

(xA−

100

5xA

)+(yY−

100

5yB

)

Cleary the average income is less in the second case

So, option B is correct.