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. 6,001
2. Rs. 5,991
3. Rs. 4,991
4. Rs. 6,991

Answer 1

Correct Answer - Option 3 : Rs. 4,991

Given:

Five consecutive months sale = Rs. 6,435, Rs. 6,927, Rs. 6,855, Rs. 7,230, Rs. 6,562

Six consecutive months average sale = Rs. 6,500

Formula Used:

Average = sum of values/number of values

Calculation:

Let sale of sixth month be Rs. x

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

⇒ Rs. (34009 + x)

Number of months = 6 

Average of sales of six 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. 4,991 sale must he have in the sixth month so that he gets an average sale of Rs. 6,500