Given total 2006 sales = 216,000
Brand A increased by 50%
Brand E increased by 10%
All others remained same
Let's find what portion A's 2006 sales represents of total:
In 2005, A was $45\%$ of total
When increased by 50%, A's share in 2006 = $45\% × 1.5 = 67.5\%$ of original total
Similarly for E:
In 2005, E was $22\%$ of total
When increased by 10%, E's share in 2006 = $22\% × 1.1 = 24.2\%$ of original total
Other brands (B+C+D) = $(15\% + 10\% + 8\%) = 33\%$ remained same
Therefore, 2006 total represents $124.7\%$ of 2005 total
So, 216,000 = $124.7\%$ of 2005 total
2005 total = $\frac{216,000}{1.247} = 173,216$
A's sales in 2005 = $45\%$ of 173,216
= $0.45 × 173,216$
= approximately 77,947
Therefore, Brand A's sales in 2005 was approximately 77,947.
