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03 Sep 2025, 09:36
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The data in the following table shows trends in sales at four companies over a 2–year period
If the total sales for Company D in the year 2009 were $66,000, what were the sales at Company D in the year 2011, rounded to the nearest dollar?
GMAT-Club-Forum-lrkz6mxq.png [ 22.11 KiB | Viewed 112 times ]
If the total sales for Company D in the year 2009 were $66,000, what were the sales at Company D in the year 2011, rounded to the nearest dollar?
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GMAT-Club-Forum-lrkz6mxq.png [ 22.11 KiB | Viewed 112 times ]
Updated on: 21 Sep 2025, 05:05
Originally posted by Sajjad1994 on 21 Sep 2025, 05:02.
Last edited by Sajjad1994 on 21 Sep 2025, 05:05, edited 1 time in total.
Last edited by Sajjad1994 on 21 Sep 2025, 05:05, edited 1 time in total.
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Official Explanation
When Company D’s value decreased by 3%, it retained 97% of its value of $66,000,cwhich is .97 × 66,000 = $64,020. In the following year, it increased in value by 22% of this, or .22× $64,020 = $14,084.40. When this increase is added to 64,020, the final value becomes $78104.4,cwhich rounds to $78,104.
*A nice shortcut is to think of the final value as 1.22(.97(66,000)), which is entered on the calculatorcas 1.22 × .97 × 66,000 = 78,104.4 ≈ 78,104. In this approach, we obtain 1.22 mentally by thinking of (value + 22% of value) as 1V + .22 V = 1.22 V. Similarly, value minus 3% of value is 1 V – .03 V = .97 V, justifying the shortcut.
Answer: 78,104
When Company D’s value decreased by 3%, it retained 97% of its value of $66,000,cwhich is .97 × 66,000 = $64,020. In the following year, it increased in value by 22% of this, or .22× $64,020 = $14,084.40. When this increase is added to 64,020, the final value becomes $78104.4,cwhich rounds to $78,104.
*A nice shortcut is to think of the final value as 1.22(.97(66,000)), which is entered on the calculatorcas 1.22 × .97 × 66,000 = 78,104.4 ≈ 78,104. In this approach, we obtain 1.22 mentally by thinking of (value + 22% of value) as 1V + .22 V = 1.22 V. Similarly, value minus 3% of value is 1 V – .03 V = .97 V, justifying the shortcut.
Answer: 78,104
