Question

From school P, out of the students playing carrom, $40\%$ got selected for state level competition, out of which $25\%$ further got selected for national level competition. From school T, out of the students playing carrom, $45\%$ got selected for state level competition, out of which two-thirds further got selected for national level competition. What is the total number of students playing carrom from these two schools who got selected for national level competition?

• A. 106
• B. 98
• C. 112
• D. 108
• E. 96

Answer 1

The correct option is A 106

From school P the students playing carrom selected for national level competition
$=\frac{220\times 40}{100}\times \frac{25}{100}=22$
From school T the students playing carrom selected for national level competition.
$=\frac{280\times 45}{100}\times \frac{2}{3}=84$
$\therefore$ Total number of students selected for National level competition from school P and T together.
= 22 + 84 = 106