The following pie chart shows the market shares of the three only brands in a market at the end of last year: If by the end of the current year,brand C increases its market share to 51%,brand B maintains its market share,and total market sales increase by 15%,then this year's sales for brand A will be
A) 67
B) 65
C) 55
D) 53
E) 50

Question

The following pie chart shows the market shares of the three only brands in a market at the end of last year:  If by the end of the current year,brand C increases its market share to 51%,brand B maintains its market share,and total market sales increase by 15%,then this year's sales for brand A will be
A) 67 
B) 65 
C) 55 
D) 53 
E) 50

Quizplus · Accepted Answer

- According to the pie chart, brand A has a market share of 25%.
- If brand C increases its market share to 51%, the remaining market share for brand A and brand B will be 49%.
- 15% increase in total market sales means the new total market sales will be 115% of the previous year's sales.
- If brand B maintains its market share, its sales will also increase by 15%.
- Therefore, the new market sales for brand C will be 51/86 * 1.15 * 115 = 0.835 * 1.15 * 115 = 109.9%
- The new market sales for brand B will be 35/86 * 1.15 * 115 = 0.406 * 1.15 * 115 = 53.3%
- The new market sales for brand A will be 9/86 * 1.15 * 115 = 0.106 * 1.15 * 115 = 14.5%
- Rounded to the nearest whole number, brand A's sales for this year will be 15% of 115% of its previous year's sales, which is 0.15 * 1.15 * 78 = 13.5
- Therefore, the best choice is D) 53.

The Following Pie Chart Shows the Market Shares of the Three