# 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?

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 1 of 6.
Avinash said:
1 decade ago

Easy method for this is

Assume a nearest number in given number as average

Suppose 6500 as average

and then write down all as follows

6435+65=6500

6927-427=6500

6855-355=6500

7230-730=6500

6562-62=6500

the last number as y+x=6500

the effective should be zero if 6500 is correct average

+65-427-355-730-62+x=0

x=799

to get effective zero we should have the number is -799

therefore the required number is as follows...

4991(6500-799).

explanation is long but it is less time taken...

Assume a nearest number in given number as average

Suppose 6500 as average

and then write down all as follows

6435+65=6500

6927-427=6500

6855-355=6500

7230-730=6500

6562-62=6500

the last number as y+x=6500

the effective should be zero if 6500 is correct average

+65-427-355-730-62+x=0

x=799

to get effective zero we should have the number is -799

therefore the required number is as follows...

4991(6500-799).

explanation is long but it is less time taken...

Swetha. said:
10 years ago

This problem can also be done easily in this way:

Average = sum of observations/no.of observations.

Let the sale in 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.

Average = sum of observations/no.of observations.

Let the sale in 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.

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.

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.

Gana said:
1 decade ago

Hi I got the new way but I don't this right or wrong but answer will be coming.

Total 5 month of purchase : (6435+6927+6855+7230+6562) Total = 34009.

You want 6th month sales so divide in total amount 34009 / 6 = 5668.16.

And less six month average amount 6500 - 5668.16 = 831.94.

Coming total multiple in 6 month 831.94 *6 = 4991.64 /-

Total 5 month of purchase : (6435+6927+6855+7230+6562) Total = 34009.

You want 6th month sales so divide in total amount 34009 / 6 = 5668.16.

And less six month average amount 6500 - 5668.16 = 831.94.

Coming total multiple in 6 month 831.94 *6 = 4991.64 /-

Shivakumara Y said:
3 years ago

An easy way for this type of problem is;

Here, we have to find 6th month RS?

To find,

Solution:

(Add all 5 month Rs. + 6 th month RS.)/6= 6500,

i.e (34009+ 6th month Rs.)|6 =6500,

34009 + 6th month Rs. = 6500 * 6,

6th month Rs. = 39000 - 34009,

Ans 6th month RS. = 4991.

Here, we have to find 6th month RS?

To find,

Solution:

(Add all 5 month Rs. + 6 th month RS.)/6= 6500,

i.e (34009+ 6th month Rs.)|6 =6500,

34009 + 6th month Rs. = 6500 * 6,

6th month Rs. = 39000 - 34009,

Ans 6th month RS. = 4991.

(2)

Naveen kumar said:
1 decade ago

Hi friends...

Here is the shortcut method to find this problem...

given average sale for 6 months is 6500..

but we don't know 6 month reading...let it be x..

now,according to the formula...

(6435+6927+6855+7230+6562+x) /6 = 6500

34009 + x = 39000

x = 4991.

Here is the shortcut method to find this problem...

given average sale for 6 months is 6500..

but we don't know 6 month reading...let it be x..

now,according to the formula...

(6435+6927+6855+7230+6562+x) /6 = 6500

34009 + x = 39000

x = 4991.

Sairam.SG said:
2 years ago

Hi friends...

Here is the shortcut method to find this problem.

Given average sale for 6 months is 6500.

But we don't know 6 months reading.

Let it be x.

Now, According to the formula.

(6435+6927+6855+7230+6562+x)/6 = 6500

34009 + x = 39000.

x = 4991.

Here is the shortcut method to find this problem.

Given average sale for 6 months is 6500.

But we don't know 6 months reading.

Let it be x.

Now, According to the formula.

(6435+6927+6855+7230+6562+x)/6 = 6500

34009 + x = 39000.

x = 4991.

(42)

Anonymous said:
9 years ago

Friends don't follow any tricks.

You can solve aptitude only if you have know concept so try to know concepts and practice more and more examples.

Then everything will be simple. More the examples you practice faster will be calculation after some time.

You can solve aptitude only if you have know concept so try to know concepts and practice more and more examples.

Then everything will be simple. More the examples you practice faster will be calculation after some time.

Swathy said:
1 decade ago

*****digital root concept****

Sale=6+4+3+5=9.

6+9+2+7=6.

6+8+5+5=6.

7+2+3+0=3.

6+5+6+2=1.

s/n = avg;.

avg = 6+5+0+0 = 2.

(9+6+6+3+1+x)/6 = 2.

9+6+6+3+1+x = 2*6.

7+x = 3.

x = 5(7+5 = 1+2 = 3).

4+9+9+1 = 2+3 = 5.

Answer: 4991.

Sale=6+4+3+5=9.

6+9+2+7=6.

6+8+5+5=6.

7+2+3+0=3.

6+5+6+2=1.

s/n = avg;.

avg = 6+5+0+0 = 2.

(9+6+6+3+1+x)/6 = 2.

9+6+6+3+1+x = 2*6.

7+x = 3.

x = 5(7+5 = 1+2 = 3).

4+9+9+1 = 2+3 = 5.

Answer: 4991.

Venkat said:
1 decade ago

@avinash

i.e,

since 6500 is d average

we write down all as follows

6435+65=6500

6927-427=6500

6855-355=6500

7230-730=6500

6562-62=6500

add all the values (i.e 65,-427,-355,-730,-62) we get -1509 adding it with 6500 we get 4991

i.e,

since 6500 is d average

we write down all as follows

6435+65=6500

6927-427=6500

6855-355=6500

7230-730=6500

6562-62=6500

add all the values (i.e 65,-427,-355,-730,-62) we get -1509 adding it with 6500 we get 4991

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