Question

Out of 9 persons, 8 persons spent rs. 30 each for their meals. The ninth one spent rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was

Answer 1

Answer: 32.5

Step-by-step explanation:

Let the average of expenditure of all the 9 person be x

Therfore, {(8×30)+x+20}/9=x

=> 260+x=9x

=> 8x=260

=> x=32.5

Answer 2

Total amount spent by all of them is Rs. 272.50.

Step-by-step explanation:

Since we have given that

Number of persons = 9

Number of person spent Rs. 30 each for their meals = 8

Average of 9 persons would be

$\dfrac{\sum x+9^{th}}{9}=M\\\\\sum x+9^{th}=9M$

Expenditure of ninth person = M+20

So, it becomes,

$8\times 30+M+20=9M\\\\240+20=9M-M\\\\260=8M\\\\\dfrac{260}{8}=M\\\\M=32.5$

so, Total amount spent by all of them would be

$240+32.5=272.50$

Hence, total amount spent by all of them is Rs. 272.50.

# learn more:

Out of 9 person, 8 person spent RS.30 each for their meals. The 9th one spend Rs.20 more than the average expenditure of all the nine. The total money spent by all of them was​

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