SSC CHSL 19 Mar 2020 Shift 3 Paper

Let the total number of students be T.
Number of students participated inFolk song $=\frac{22}{100}\times \mathrm{T}$
Remaining students
$=\mathrm{T}-\frac{22\mathrm{T}}{100}=\frac{100\mathrm{T}-22\mathrm{T}}{100}=\frac{78\mathrm{T}}{100}$
Now, according to the question,
Number of students participated in
Kathak $=\frac{25}{100}\times \frac{78\mathrm{T}}{100}=\frac{39\mathrm{T}}{200}$
Remaining students participated in Quiz. Therefore, number of students participated in Quiz
$=\frac{78\mathrm{T}}{100}-\frac{39\mathrm{T}}{200}=\frac{117\mathrm{T}}{200}$
∴ Percentage of students participated
in Quiz $=\frac{117\frac{\mathrm{T}}{200}}{\mathrm{T}}\times 100=58.5\%$