Question

Out of $1800$ students in a school, $750$ opted basketball, $800$ opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of number of students who opted basket ball to the number of students who opted table tennis.

Answer 1

We have,

Total number of students in school$=1800$

Number of students who opted basketball$=750$

Number of students who opted cricket$=800$

Number of students who opted table tennis$=1800-(750+800)$

$$\begin{gathered} =1800-1550 \\ =250 \end{gathered}$$

$\begin{array}{rcl}\therefore \mathrm{Ratio}\mathrm{of}\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{who}\mathrm{opted}\mathrm{basket}\mathrm{ball}\mathrm{to}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{who}\mathrm{opted}\mathrm{table}\mathrm{tennis}& =& \frac{\mathrm{Students}\mathrm{who}\mathrm{opted}\mathrm{basket}\mathrm{ball}}{\mathrm{Students}\mathrm{who}\mathrm{opted}\mathrm{table}\mathrm{tennis}}\\ & =& \frac{750}{250}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}\mathrm{their}\mathrm{HCF}\mathrm{i}.\mathrm{e}.250\\ & =& \frac{3}{1}\\ & =& 3:1\end{array}$

Hence, Required ratio is $3:1$