Question : A supermarket has sales of INR 1,48,500, INR 2,00,000, INR 1,64,000, INR 1,88,600, and INR 2,40,400 in 5 consecutive months.
How much sales should the supermarket have in the 6th month so that the average sales for these 6 months become INR 1,88,300?
Option 1: INR 2,00,500
Option 2: INR 1,88,300
Option 3: INR 1,64,000
Option 4: INR 1,90,020
Correct Answer: INR 1,88,300
Solution :
Let $x$ be the sales for the 6th month.
The average sales for the 6 months should be INR 1,88,300
⇒ $\frac{\text{Total Sales}}{\text{Number of months}}$ = Average sales
⇒ 148500 + 200000 + 164000 + 188600 + 240400 + $x$ = 188300 × 6
⇒ 941500 + $x$ = 1129800
⇒ $x$ = 129800 – 941500
⇒ $x$ = 188300
Hence, the correct answer is INR 1,88,300.
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