Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?

Average of the runs of 133 players of a team = 38

=> Total runs scored = $$133\times38$$

Let number of male players = $$m$$, => Number of female players = $$(133-m)$$

Thus, according to ques,

=> $$43(m)+24(133-m)=133\times38$$

=> $$43m-24m+(133\times24)=133\times38$$

=> $$19m=133(38-24)$$

=> $$m=\frac{133\times14}{19}=98$$

Thus, female players = $$133-98=35$$

$$\therefore$$ Ratio of the total runs of male players and the total runs of female players respectively = $$\frac{98\times43}{35\times24}$$

= $$301:60$$

=> Ans - (A)