Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 3)
3.
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Rs. 4991
Rs. 5991
Rs. 6001
Rs. 6991
Answer: Option
Explanation:

Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.

Required sale = Rs. [ (6500 x 6) - 34009 ]

   = Rs. (39000 - 34009)

   = Rs. 4991.

Video Explanation: https://youtu.be/tP4hszReksU

Discussion:
59 comments Page 2 of 6.

Mrunali Ramteke said:   5 years ago
Let the sale of six month is x rs.

Total sale of 5 months is 6435+6927+6855+7230+6562=34009÷5.
But for the sixth month 34009+x÷6=6500 after solving the equation,
= 4991.

Shubham j said:   5 years ago
Thanks @Avinash.

BINIT JHA said:   6 years ago
Solution;

6435+6927+ 6855+ 7230 + 6562+x(let)/6=6500,
34009+x/6=6500,
34009+x=6500*6.
x=39000-34009=4991.

B.Geeth Yeswanth said:   6 years ago
Average=Sum of all observations/no.of observations.

6500=6435+6927+6855+7230+6562+x/6,
6500=34009+x/6,
X=6500*6 -34009,
X=39000-34009,
X=4991.

Shree said:   6 years ago
Thank you for the detailed explanation. Very useful.

Sazid khan said:   6 years ago
This problem can also be done easily in this way:

Average = sum of observations/no.of observations.
Let the sale in a 6th month be x.
We have avg = 6500., no.of months = 6.
Then, according to the above formula,
6500 = 6435+6927+6855+7230+6562+x/6.
=>6500*6 = 34009+x.
=>x = 39000-34009.
=>x = 4991. Hence, we got the sale in 6th month as RS. 4991.

Priya said:   7 years ago
Consider the sale of 6th month=x.

6435+6927+6855+7230+6562+x/6 = 6500
34009+x/6 =6500

34009+x = 39000.
x = 39000-34009.
x = 4891.

Hrushi said:   7 years ago
Consecutive months means what?

Dandabata said:   7 years ago
6435+65=6500
6927-427=6500
6855-355=6500
7230-730=6500
6562-62=6500

How this happen?

Sana said:   7 years ago
@Swathy.

x = 5(7+5 = 1+2 = 3).explain this step.


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