A grocer has a sale of Rs . 6,927 , Rs . 6,855 , Rs . 7,230 , Rs . 6,435 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 . 6,500 ?

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

Answer (Detailed Solution Below)

Option 1 :  Rs . 4,991   
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Detailed Solution

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Given:

Sale for 5 consecutive months: Rs. 6,927, Rs. 6,855, Rs. 7,230, Rs. 6,435, and Rs. 6,562

Average sale required for 6 months: Rs. 6,500

Formula Used:

Average sale = Total sale / Number of months

Calculation:

Let the sale in the sixth month be x.

Total sale for 5 months = 6927 + 6855 + 7230 + 6435 + 6562

Total sale for 5 months = 34009

Total sale for 6 months = 34009 + x

Average sale for 6 months = 6500

⇒ (34009 + x) / 6 = 6500

⇒ 34009 + x = 6500 × 6

⇒ 34009 + x = 39000

⇒ x = 39000 - 34009

⇒ x = 4991

The sale in the sixth month must be Rs. 4,991.

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