Aptitude - Percentage - Discussion

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.

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

Total run = 110.

And runs scored by boundaries and sixes are (3*4=12)+ (8*6=48) = 60,
Rest scores made by running = 110 - 60 = 50 runs.
So percentage of running's score = (running's score / total Score )*100.
= (50/110)*100 = (5/11)*100.
= 500/11,
=> (45/1)+(5/11).
i.e option (B).

Just we have used the formula.

50 runs are scored by running out of total score 110.

And as we have asked the ans. Should be in percentage.

Any quantity when multiplied by 100, we get the value in percentage.

(50*100)/110=500/11 are you agree with this, then

45*11=495 where 11 is denominator then by adding 5 to 495 we will get 500, then keep the denominator same.

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%