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# Q.11 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 (a) Number of students who opted basketball to the number of students who opted table tennis. (b) Number of students who opted cricket to the number of students opting basketball. (c) Number of students who opted basketball to the total number of students.

Answer :

(a) Ratio of number of students who opted basketball to the number of students who opted table tennis
$$= \frac{750}{250} = \frac{3}{1}$$ = 3 : 1
(b) Ratio of number of students who opted cricket to the number of students opting basketball
=\frac{800}{750} = \frac{800÷50}{750÷50} = \frac{16}{15} = 16 : 15 \)
(c) Ratio of number of students who opted basketball to the total number of students
=$$\frac{750}{1800} = \frac{750÷150}{1800÷150} = \frac{5}{12}$$
= 5 : 12