Discussion
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 ?
Answer: A
The sixth month's sale must be Rs. 4991.
For an average of Rs. 6,500 over six months, the total must be 6 × 6,500 = Rs. 39,000. The first five months give:
\[ \begin{aligned} &6435 + 6927 + 6855 + 7230 + 6562 \\ &= 34009 \\ &39000 - 34009 = 4991 \end{aligned} \]
So the sixth month needs Rs. 4,991. The other options each give a total above or below Rs. 39,000; for example, 5,467 would make the average about Rs. 6,579.
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