Aptitude - Percentage - Discussion

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

How 4 came here? Please, someone, explain to me.

In order to find the percentage of runs scored by running the wickets.

see the total runs scored by the batsman is 110.
runs scored by fours and sixes is 4*3+6*8=60

then runs scored by running b/w wickets = 50(total runs(110) - runs scored by fours and sixes(60))

for 110 runs if he scored 50 runs by running b/w wickets
then for 100 how much

this can written in the ratio form as 110:100::50:X
then x=(100*50)/110
solving we get the answer as 500/11
converting in mixed fraction we 45*5/11.

i hope u understood.. have a nice day.

An important interview question:

Question: 75% of a number when added to 75 becomes the number itself. The number is ?

Solution:

Let the required number be x.

x = 75% of x + 75

x = 75/100x + 75

1x = 0.75x + 75

1x - 0.75x = 75

0.25x = 75

x = 75/0.25

x = 7500/25

x = 300.

Verification:

75% of 300 = 275
Now 755 + 75 = 300

Hence 300 is the required answer.

Hey the correct answer is option d.55%
explaination:x%of a number is given as :(x*number)/100 and not (x*100)/number..
for eg 10%of 20 is 2...therefore according to my formula its (10*20)/100=2 but according to the way the sum has been solved here its (10*100)/20=50...which is wrong how can 50 be 10%of 20????
therefore here its (50*110)/100=55%

Can please solve problems with explanation?

If 12 1/2% of a 25% of b = 20% of (a+b), Then what is the ratio of b:a?

@Jay

1 : 2 is answer.

Let me explain.

Total runs made by him = 110 in which he made 3 boundaries and 8 sixes
So basically a boundary means 4, therefore 3 boundaries means 3 X 4 = 12.
And 8 sixes equals to 8 X 6 = 48.

Now adding boundary and sixes made by him,
Therefore 12 + 48 = 60.

So the score 60 was not made by runs.

So let us subtract the score 60 from the total score 110.
So that 110 - 60 = 50
50 is the score which is made by running between the wickets.

The solution is not yet completed, it's about to finish

We need to get a percentage of that runs made by him.

50/110 * 100 = 45 * 5/11 will be the answer.

Hope you understand.

How come 45? Please tell me.