Aptitude - Percentage - Discussion

The question is very simple.

Out of 110 Runs, he scored 60 runs by hitting the boundaries. Also, it is mentioned to calculate what percentage of total runs will he score by running between the wickets.

So,
(x/100)*110 = 50,
Now x = (50*100)/110.

Total runs : 110
boundaries :3 ie 3 * 4=12.---> 12 +48
six : 8 ie 8*6 =48 ---->=60.

= total run -addition of 4 and 6
= 110 -60 ie = 50
= 50/100 *100. ie 5000/110.

ie. 500/11(put in division method),
then 11 is divisor 5 is remainder 45 is the quotient,
45 * 5/11.

Here, Why we subtract 60 from 110? Please explain me.

How 5/11 come at the end? Please explain to me.

Total runs =110.
Boundaries means (4)=>so,
Qus:3 boundaries =3*4=12.
Sixes(6)=>so,
Qus:8 sixes = 8*6=48.
So, boundary + sixes = 12 + 48 = 60.
The, 60 runs is only boundaries and sixes.
But, the question was running b/w the wickets (only scores the runs in running ).
So, total - (boundaries &sixes) = running runs.
So, 110(total) - 60(boundaries &sixes) = 50(running runs).
Here, it is asked percentage :
So, running runs/total *100 = ans.
So, 50/110*100 = 500/11,
And the answer is 45*5/11.

Total score = 110,
3 * 4 = 12,
8 * 6 = 48.

Total score - six and four = 110 - 60 = 50,
Percentage = 50/1100 * 100,
= 45(5/11).

Given that;

Total runs = 110,
Total six = 8 * 6 = 48,
Boundaries = 4 * 3 = 12,
110 - 48 + 12 = 50,
To find a percentage,
= (50/110) * 100
= 500/11.
Now 45 * 11 = 495,
Mixed fraction form;
= 45 *(5/11).

Total Runs 110.
3 boundaries = 3 * 4 = 12.
8 * 6 = 48,
12 + 48 = 60.

Between wickets is 110-60 = 50.
Now they have asked me to find the % of 110 = 50
Simply add 2 zeros to 50 and divide by 110

eg: %10 of x =a.
=>a00/10 find x.
eg: x% of 100 = a.
=>a00/100 find x.

x% of 110 = 50,
=>5000/110= 45.45.

Yes, the 45(5/11) is the right answer.

@All.

Explanation: out of 110 runs with bound and 8 sixes : 3 boundaries + 8 sixes = 60 runs with bound and 8sixes rest are runs with running between wickets.
110-60 = 50 (now they ask for the percentage for 50 with 110), that is 50% of 110, then
50/100 * 110 = 45.4% which is the correct answer.