Following table provides figures (in rupees) on annual expenditure of a firm for two years 2010 and 2011: Category | 2010 | 2011 Raw material | 520 | 650 Power & fuel | 70 | 96.50 Salary & wages | 1000 | 1200 Plant & machinery | 6000 | 6500 Advertising | 500 | 625 Research & Development | 2000 | 2500 In 2011, which of the two categories have registered increase by same percentage? A. Raw material and Salary & wages B. Salary & wages and Advertising C. Power & fuel and Advertising D. Raw material and Research & Development
GATE 2013 · General Aptitude · Tabular Data · medium
Answer: Raw material and Research & Development both registered a 25% increase from 2010 to 2011. Answer: D
- Compute percentage increase for each category: Raw material: (650 - 520) / 520 * 100 = 130/520 * 100 = 25.00% Power & fuel: (96.5 - 70) / 70 * 100 = 26.5/70 * 100 = 37.86% Salary & wages: (1200 - 1000) / 1000 * 100 = 200/1000 * 100 = 20.00% Plant & machinery: (6500 - 6000) / 6000 * 100 = 500/6000 * 100 = 8.33% Advertising: (625 - 500) / 500 * 100 = 125/500 * 100 = 25.00% R&D: (2500 - 2000) / 2000 * 100 = 500/2000 * 100 = 25.00%
- Check each option pair for equal percentage: A: Raw (25%) vs Salary (20%) => NOT equal B: Salary (20%) vs Advertising (25%) => NOT equal C: Power (37.86%) vs Advertising (25%) => NOT equal D: Raw (25%) vs R&D (25%) => EQUAL