# 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.

**Solution:**

Total number of students = 1800

Number of students who opted for basketball = 750

Number of students who opted for cricket = 800

Number of students who opted for table tennis = Total number of students - Number of students who opted for basketball - Number of students who opted for cricket

= 1800 - 750 - 800

= 250

(a) Ratio of the number of students who opted for basketball to the number of students who opted for table tennis

= Number of students who opted for basketball / Number of students who opted for table tennis

= 750 / 250

= 3 / 1

Therefore, 3:1 is the ratio of number of students who opted for basketball to the number of students who opted for table tennis.

(b) Ratio of number of students who opted for cricket to the number of students who opted for basketball

= Number of students who opted for cricket / Number of students who opted for basketball

= 800 / 750

= 16 / 15

Therefore, 16:15 is the ratio of number of students who opted for cricket to the number of students who opted for basketball

(c) Ratio of no. of students who opted basketball to the total no. of students

= Number of students who opted for basketball / Total number of students

= 750 / 1800

= 25 / 60

= 5 / 12

Therefore, 5:12 is the ratio of number of students who opted for basketball to the total number of students.

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.1 Question 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.

**Summary:**

Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and the remaining opted table tennis. If a student can opt for only one game, the ratio of (a) Number of students who opted for basketball to the number of students who opted for table tennis is 3:1. (b) The number of students who opted for cricket to the number of students opting for basketball is 16:15. (c) The number of students who opted for basketball to the total number of students is 5:12.

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