Bunuel wrote:
Among the 200 cars displayed at an auto show, 50 had built-in air conditioners and 63 had traction control systems. If 12% of cars with air conditioners had traction control systems, what percent of the cars without air conditioners had traction control systems?
A. 35
B. 36
C. 38
D. 40
E. 45
Total number of cars \(= 200\)
Number of Cars with built-in air conditioners \(= 50\)
Total number of cars without built-in air conditioners \(= 200 - 50 = 150\)
Number of Cars that had traction control systems \(= 63\)
\(12\)
% of cars with air conditioners had traction control systems \(=12\)
% of \(50 = \frac{12}{100} * 50 = 6\)
Therefore, \(6\) cars with built-in air conditioners had traction control systems.
Number of cars with traction control systems but without built-in air conditioners \(= 63 - 6 = 57\)
Required Percentage = (Number of cars with traction control systems but without built-in air conditioners / Total number of cars without built-in air conditioners) \(* 100\)
Required Percentage \(= \frac{57}{150}*100 = 38\)
%Answer (C)...