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A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6856, 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 ?
1. Rs. 4990
2. Rs. 5991
3. Rs. 6001
4. Rs. 6991

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Best answer
Correct Answer - Option 1 : Rs. 4990

Given:

Five consecutive sale = Rs. 6435, Rs. 6927, Rs. 6856, Rs. 7230, Rs. 6562

Six consecutive months average sale = Rs. 6500

Formula used:

Average = sum of values/Number of values

Calculation:

Let sale of six month be Rs. x

Sum of sales of six months = Rs. (6435 + 6927 + 6856 + 7230 + 6562 + x)

⇒ Rs. (34010 + x)

Number of months = 6

Average of sales of 6 consecutive months = Rs. (34010 + x)/6

⇒ Rs. 6500 = Rs. (34010 + x)/6

⇒ 6 × 6500 = 34010 + x

⇒ 39000 = 34010 + x

⇒ x = (39000 – 34010)

⇒ x = 4990

∴ Rs. 4990 sale must he have in the six month so that he gets an average sale of Rs. 6500

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