Correct Answer - Option 2 :
141 : 790
Calculation:
Total number of students = 6300
Number of boys = 5/9 × 6300
⇒ 3500
∴ number of girls = (6300 - 3500)
⇒ 2800
Number of boys enrolled in Painting = 621
Number of students enrolled in Quiz = 36% of 6300 = 2268
Number of girls enrolled in Quiz = 640
∴ number of boys enrolled in quiz = 2268 – 640
⇒ 1628
Number of boys enrolled in Debating = 25% of 3500
⇒ 875
∴ Number of girls enrolled in Carom = 640 + 150 = 790
Number of students enrolled in Painting = 861
∴ Number of girls enrolled in painting = 816 – 621 = 195
Number of boys enrolled in Chess and Carom together = 3500 – (875 + 621 + 1628) = 376
∴ Number of boys enrolled in Chess = 5/(5 + 3) × 376
⇒ 235
Number of girls enrolled in Chess = 235 + 186 = 421
Number of boys enrolled in Carom = 376 – 235 = 141
Number of girls enrolled in Debating = 2800 – (640 + 790 + 195 + 421) = 754
Indoor Activity
|
No. of boys
|
No. of girls
|
Total students
|
Chess
|
235
|
421
|
656
|
Carom
|
141
|
790
|
931
|
Debating
|
875
|
754
|
1629
|
Painting
|
621
|
195
|
816
|
Quiz
|
1628
|
640
|
2268
|
∴ required Ratio = 141 : 790
The ratio of the number of boys enrolled in Carom to the number of girls enrolled in the same activity is 141 : 790.