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 ?
- AOption (a)
Rs. 6,001
- BOption (b)
Rs. 5,991
- COption (c)
Rs. 4,991
- DOption (d)
Rs. 6,991
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Correct answer
Rs. 4,991
Why this answer is correct
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

