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A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

Difficulty: Medium

Correct Answer: Rs. 4,991

Explanation:

Given 5 months of sales

  • Rs. 6,435; Rs. 6,927; Rs. 6,855; Rs. 7,230; Rs. 6,562
  • Desired average over 6 months = Rs. 6,500

Step 1: Compute required total for 6 months
Required total = 6 × 6,500 = Rs. 39,000


Step 2: Sum the first five months
Sum = 6,435 + 6,927 + 6,855 + 7,230 + 6,562= 13,362 + 6,855 = 20,217= 20,217 + 7,230 = 27,447= 27,447 + 6,562 = 34,009


Step 3: Find the sixth month's needed sale
Sixth month = Required total − Sum of first five= 39,000 − 34,009 = Rs. 4,991


Common pitfalls

  • Averages over multiple months require totals first; do not average the averages.
  • Watch the addition carefully to avoid place-value slips.

Final Answer
He must sell for Rs. 4,991 in the sixth month.

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