A certain country has 506 universities and 25561 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. Universities (506): Grade I: 49%, Grade II: 42%, Grade III: 9% Colleges (25561): Grade I: 68%, Grade II: 9%, Grade III: 23% What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III? A. 22.7 B. 23.7 C. 15.0 D. 66.8

GATE 2023 · General Aptitude · Pie Chart · medium

Answer: 22.7% of all higher education institutions in the country fall into Grade III.

1. Compute Grade III universities: Grade III universities = (9/100) x 506 = 0.09 x 506 = 45.54
2. Compute Grade III colleges: Grade III colleges = (23/100) x 25,561 = 0.23 x 25,561 = 5,879.03
3. Total Grade III institutions: Total Grade III = 45.54 + 5,879.03 = 5,924.57
4. Compute combined percentage of Grade III: Grand total = 506 + 25,561 = 26,067. % = (5,924.57 / 26,067) x 100 = 22.73% ≈ 22.7%