A grocer had a sale of Rs. 6735, Rs. 7227, Rs. 7155, Rs. 7530 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. 6800? (In Rs.)

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OSSC CGL 2022 Official Paper (Held on: 13th Oct Shift 2)

Answer 1

Given:

1st month = Rs. 6735

2nd month = Rs. 7227

3rd month = Rs. 7155

4th month = Rs. 7530

5th month = Rs. 6562

Average = Rs. 6800

Concept used:

\(Average = {Sum\; of\; observations \over Total\; number\; of\; observation}\)

Calculation:

Let the sale of 6th month be 'X'

Substitute the values in the formula

⇒ \(Average = {Sum\; of\; observations \over Total\; number\; of\; observation}\)

⇒ \(6800 = {6735\;+\;7227\;+\;7155\;+\;7530\;+\;6562 \;+\; X \over 6}\)

⇒ 6800 × 6 = 6735 + 7227 + 7155 + 7530 + 6562

⇒ 40800 = 35209 + X

⇒ X = 40800 - 35209

⇒ X = 5591

∴ The sale of 6th month must be Rs. 5591.