Study the information carefully to answer the following question.
On the occasion of an opening ceremony of a sports event, in a stadium, there are 600 players who are participating in four different events, that is, Athletics, Table Tennis, Kho-Kho and Lawn Tennis. The ratio of male to female players is 11:4. 30% of the female players are participating in Athletics. 10% of the female players are participating in Table Tennis. The remaining female players are participating in Kho-Kho and Lawn Tennis in the ratio of 1:3. The ratio of male players who are participating in Athletics and other events together is 3:5. 4% of those male players who are not participating in Athletics are participating in Lawn Tennis. Remaining male players are participating in Table Tennis and Kho-Kho in the ratio 5:3.
What is the total number of female players who participated in Athletics and Kho-Kho together?
Study the information carefully to answer the following question.
On the occasion of an opening ceremony of a sports event, in a stadium, there are 600 players who are participating in four different events, that is, Athletics, Table Tennis, Kho-Kho and Lawn Tennis. The ratio of male to female players is 11:4. 30% of the female players are participating in Athletics. 10% of the female players are participating in Table Tennis. The remaining female players are participating in Kho-Kho and Lawn Tennis in the ratio of 1:3. The ratio of male players who are participating in Athletics and other events together is 3:5. 4% of those male players who are not participating in Athletics are participating in Lawn Tennis. Remaining male players are participating in Table Tennis and Kho-Kho in the ratio 5:3.
What is the total number of female players who participated in Athletics and Kho-Kho together?
In given data,
Total number of players =600.
The ratio of male to female players =11:4
⇒ Total parts of the ratio =11+4=15
Number of female players =415×600=160
It is given that, 30% of the female players are participating in Athletics.
Number of female players participating in Athletics
=30100×160
=3×16
=48
Number of female players participating in Athletics =48--(1)
It is given that, 10% of the female players are participating in Tennis.
Number of female players participating in Tennis
=10100×160
=16
Number of female players participating in Tennis =16---(2)
Remaining female players =160−48−16=96
It is given that, The remaining female players are participating in Kho-Kho and Lawn Tennis in the ratio of 1:3
So, Number of female players participating in Kho-Kho
=14×96
=24
Number of female players participating in Kho-Kho =24--(3)
Total number of female players participating in Athletics and Kho-Kho together
=48+24 [From (1) and (3)]
=72
Hence, Option B is correct.
In given data,
Total number of players =600.
The ratio of male to female players =11:4
⇒ Total parts of the ratio =11+4=15
Number of female players =415×600=160
It is given that, 30% of the female players are participating in Athletics.
Number of female players participating in Athletics
=30100×160
=3×16
=48
Number of female players participating in Athletics =48--(1)
It is given that, 10% of the female players are participating in Tennis.
Number of female players participating in Tennis
=10100×160
=16
Number of female players participating in Tennis =16---(2)
Remaining female players =160−48−16=96
It is given that, The remaining female players are participating in Kho-Kho and Lawn Tennis in the ratio of 1:3
So, Number of female players participating in Kho-Kho
=14×96
=24
Number of female players participating in Kho-Kho =24--(3)
Total number of female players participating in Athletics and Kho-Kho together
=48+24 [From (1) and (3)]
=72
Hence, Option B is correct.
