Read the following table giving sales data of five types of batteries for years 2006 to 2012. Year | Type I | Type II | Type III | Type IV | Type V 2006 | 75 | 144 | 114 | 102 | 108 2007 | 90 | 126 | 102 | 84 | 120 2008 | 96 | 114 | 75 | 105 | 135 2009 | 105 | 90 | 150 | 90 | 75 2010 | 90 | 75 | 135 | 115 | 90 2011 | 100 | 90 | 165 | 100 | 115 2012 | 115 | 85 | 160 | 100 | 145 Out of the following, which type of battery achieved the highest growth between the years 2006 and 2012? A. Type V B. Type III C. Type II D. Type I

GATE 2015 · General Aptitude · Tabular Data · medium

Answer: Type I achieved the highest growth of 53.3% between 2006 and 2012.

1. Compute percentage growth for each type: Type I: (115 - 75) / 75 * 100 = 40/75 * 100 = 53.33% Type II: (85 - 144) / 144 * 100 = -59/144 * 100 = -40.97% (declined) Type III: (160 - 114)/ 114 * 100 = 46/114 * 100 = 40.35% Type IV: (100 - 102)/ 102 * 100 = -2/102 * 100 = -1.96% (slight decline) Type V: (145 - 108)/ 108 * 100 = 37/108 * 100 = 34.26%
2. Rank the positive growths and identify the winner: Type I (53.33%) > Type III (40.35%) > Type V (34.26%). Type I wins despite a smaller absolute increase (40 units) than Type III (46 units), because its much lower starting base (75 vs 114) produces a larger percentage.