A fruit seller has a sale of Rs.10,435, Rs.9,927, Rs.10,855, Rs.10,230 and Rs.9,562 for five consecutive months. How much sale (in Rs.) must he have in the sixth month so that he gets an average sale of Rs.10,500?

A fruit seller has a sale of Rs.10,435, Rs.9,927, Rs.10,855, Rs.10,230 and Rs.9,562 for five consecutive months. How much sale (in Rs.) must he have in the sixth month so that he gets an average sale of Rs.10,500? Correct Answer 11,991

Given:

A fruit seller has a sale for five months = Rs. 10,435, Rs. 9,927, Rs. 10,855, Rs. 10,230 and Rs. 9,562 

Formula used:

Sum of observations = Average × Number of observations

Calculation:

The total sell of fruits in five months = Rs. (10,435 + 9,927 + 10,855 + 10,230 + 9,562)

⇒ Rs. 51,009

The sale in the sixth month = Rs. (10,500 × 6) 

⇒ Rs. 63,000

The difference between the average sale = Rs. (63,000 – 51,009)

⇒ Rs. 11,991

∴ The required sale is Rs. 11,991