Question 51

The given pie-chart represents the percentage of students enrolled in five different sports. The total number of students is 2800.

If 24 students playing cricket are shifted to Kabaddi, then find the new ratio of the number of students in Cricket to those in Kabaddi.

Solution

Given, Total number of students = 2800

From the pie-chart,

Number of students enrolled for Cricket $$=\frac{23}{100}\times2800=644$$

Number of students enrolled for Kabaddi $$=\frac{12}{100}\times2800=336$$

After 24 students playing cricket are shifted to Kabaddi,

Number of students playing Cricket $$=644-24=620$$

Number of students playing Kabaddi $$=336+24=360$$

$$\therefore\ $$The new ratio of the number of students in Cricket to those in Kabaddi = 620 : 360 = 31 : 18

Hence, the correct answer is Option A


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