GMAT Math

Data Depicting combination of numbers and percentages of women, men and children pursuing hobbies in each of the six musical instruments.
[Clue :21% of the violin players are men]

IN THIS TABLE THERE ARE 3 COLUMNS ("SR.NO","Hobbby Related to Music" and "Percentage or Number of")

"Hobbby Related to Music" -->This column has rows starting from "Violin" to "Santoor".
And "Percentage or Number of" --> This column has 3 subcolumns(Women,Men ,Children)


SR.NO--> 1-->Hobbby Related to Music--> VIOLIN-->Percentage or Number of--> Women:276; Men:21%; Children:198;

SR.NO--> 2-->Hobbby Related to Music-->SITAR-->Percentage or Number of -->Women:318;Men:332 Children:35%;

SR.NO--> 3-->Hobbby Related to Music-->Flute-->Percentage or Number of-->Women:336;Men:20%; Children:1264;

SR.NO--> 4-->Hobbby Related to Music-->Shehnai-->Percentage or Number of-->Women:36%;Men:442; Children:326;

SR.NO--> 5-->Hobbby Related to Music-->Tabla-->Percentage or Number of->Women:34%;Men:37%;Children:522;

SR.NO--> 6-->Hobbby Related to Music-->Santoor-->Percentage or Number of-->Women:154;Men:870; Children:36%;

1) What is the total number of children given in the above data?
1)3236
2)2128
3)2836
4)2528
5)None of these

2) What is the approximate average number of men pursuing each instrument ?[To be rounde off]
1)355
2)421
3)473
4)535
5)None of these

3)What is the ratio of women playing Shehnai to men playing Tabla?
1)11:19
2)24:37
3)23:36
4)2:3
5)none of these

4)Children pursuing Sitar form what approximate percent of children pursuig Santoor?[To be rounde off]
1)55%
2)57%
3)59%
4)61%
5)None of these

5) Women pursuing Tabla form what approximate percent of the total number of women given in data?[To be rounde off]
1)29%
2)33%
3)37%
4)41%
5)45%


Need Help !!
Thank you!!

1) What is the total number of children given in the above data?
1)3236
2)2128
3)2836
4)2528
5)None of these

Total number of Children = No. of children who play violin + No. of children who play Sitar + No. of children who play flute + No. of children who play Shehnai + No. of children who play Tabla + No. of children who play Santoor

Now, we can directly substitute number of children who play Violin, Flute, Shehnai and Tabla.
However, we need to calculate numbers from percentage for children who play Sitar and Santoor.

So, number of children who play Sitar = 35%
That means, 318 (Women) + 332 (Men) are 65% of the total number of people who play Sitar (100 - 35)
Thus, total number of people who play Sitar is 1000.
That is, the total number of children who play Sitar = 350.

Similarly, number of children who play Santoor= 36%
That means, 154 (Women) + 870 (Men) are 64% of the total number of people who play Santoor(100 - 36)
Thus, total number of people who play Santoor is 1600.
That is, the total number of children who play Santoor = 576.

Total number of Children = [spoiler]198+350+1264+326+522+576 = 3236
Answer : Option A[/spoiler]