Question

A grocer has a sale of Rs.6,435, Rs.6,927, Rs.6,855, Rs.7.230 and Rs.6,562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs.6,500?
1. Rs.4,991
2. Rs.5,991
3. Rs.6,001
4. Rs.6,991
5.

Answer 1

Correct Answer - Option 1 : Rs.4,991

Given:

Five consecutive sale = Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230, Rs. 6562

Six consecutive months average sale = Rs. 6500

Formula used:

Average = sum of values/Number of values

Calculation:

Let sale of six month be Rs. x

Sum of sales of six months = Rs. (6435 + 6927 + 6855 + 7230 + 6562 + x)

⇒ Rs. (34009 + x)

Number of months = 6

Average of sales of 6 consecutive months = Rs. (34009 + x)/6

⇒ Rs. 6500 = Rs. (34009 + x)/6

⇒ 6 × 6500 = 34009 + x

⇒ 39000 = 34009 + x

⇒ x = (39000 – 34009)

⇒ x = 4991

∴ Rs. 4991 sale must he have in the six month so that he gets an average sale of Rs. 6500