Aptitude - Percentage - Discussion
Discussion Forum : Percentage - General Questions (Q.No. 1)
1.
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Answer: Option
Explanation:
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 110 - (60)
= 50.
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50 | x 100 | ![]() |
5 | % |
110 | 11 |
Video Explanation: https://youtu.be/X2zTnABqEHU
Discussion:
139 comments Page 1 of 14.
Rami said:
1 decade ago
Before we solve the problem, note these basic points.
1. Percentage is a method of expressing fractions or parts of any quantity into an equivalent form. The term per cent means for every hundred.
2. 100% means 100 hundredths or 100/100 = 1.50% means 50 hundredths or 50/100 = 1/2 or 0.5.
3. How many 40 Rs. are in 100 Rs? Yes, it is 40 Rs only. (Rs. 40 = 40 one rupees).
4. We can also form a question like, what percent is 40 rupees of 100 rupees. Answer. (40/100) *100 = 40.
Lets generalize here.
1. When we need to find x of y, we simply write as x/y.
2. When we need to find x% then, we simply write as x/100.
3. When we need to find x% of y, then x/y/100 therefore we can write it as (x/y)*100.
Now lets solve the problem.
1. The batman scored 110 runs. Out of which he scored by 3 boundaries (3*4=12 runs) , 8 sixes (8*6=48 runs).
2. In the question, they are asking the percentage of runs he scored by running. Simple, we will just minus the 60 runs (12+48) from 110.
3. Therefore, the runs he obtained by running is 50 (110-60).
4. To find what percent is 50 of 110 = (50/110) *100 = 500/11. This gives a final result 45*5/11. {Quotient* (remainder/division) = 45*5/11}.
1. Percentage is a method of expressing fractions or parts of any quantity into an equivalent form. The term per cent means for every hundred.
2. 100% means 100 hundredths or 100/100 = 1.50% means 50 hundredths or 50/100 = 1/2 or 0.5.
3. How many 40 Rs. are in 100 Rs? Yes, it is 40 Rs only. (Rs. 40 = 40 one rupees).
4. We can also form a question like, what percent is 40 rupees of 100 rupees. Answer. (40/100) *100 = 40.
Lets generalize here.
1. When we need to find x of y, we simply write as x/y.
2. When we need to find x% then, we simply write as x/100.
3. When we need to find x% of y, then x/y/100 therefore we can write it as (x/y)*100.
Now lets solve the problem.
1. The batman scored 110 runs. Out of which he scored by 3 boundaries (3*4=12 runs) , 8 sixes (8*6=48 runs).
2. In the question, they are asking the percentage of runs he scored by running. Simple, we will just minus the 60 runs (12+48) from 110.
3. Therefore, the runs he obtained by running is 50 (110-60).
4. To find what percent is 50 of 110 = (50/110) *100 = 500/11. This gives a final result 45*5/11. {Quotient* (remainder/division) = 45*5/11}.
Surya tez said:
8 years ago
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.
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.
Raj said:
1 decade ago
Total scored = 110
runs made by boundary and six = 3*4+8*6
=60
then run scored by running b\w the wicket =110-60
=50
.)lets take an eg. to convert any integral or fractional value into percentage
as we know 1/100 = %
so
x/100 = x%
eg. 1/2 = {(1/2)*100}/100 = 50%
similarly 1/3=33.33%
.)5/6 = 1/2+1/3 = 50%+33.33% = 83.33%
.)3/8 = 12.5*3 = 37.5% (1/8=12.5%)
now carefully read the last line of Que. What percent of his total score did he make by running between the wickets?
so % required = {(50/110)*100}/100 = 45.45%
runs made by boundary and six = 3*4+8*6
=60
then run scored by running b\w the wicket =110-60
=50
.)lets take an eg. to convert any integral or fractional value into percentage
as we know 1/100 = %
so
x/100 = x%
eg. 1/2 = {(1/2)*100}/100 = 50%
similarly 1/3=33.33%
.)5/6 = 1/2+1/3 = 50%+33.33% = 83.33%
.)3/8 = 12.5*3 = 37.5% (1/8=12.5%)
now carefully read the last line of Que. What percent of his total score did he make by running between the wickets?
so % required = {(50/110)*100}/100 = 45.45%
Monisha Mohanan said:
3 years ago
Total score : 110.
Three boundaries, that is 3 * 4 =12.
8 six , that is 8 * 6 = 48,
The score He runs between the wickets means.
reduce the above-mentioned values like boundaries and sixes from the total score, that is
110 - 12+48 = 50.
Percentage of 50 runs equal to
50/110 * 100%.
5000/110.
= 45.45.
.45 into fractional form.
Follow the following steps.
.45 to 45.
Then 45/100 here we taking 45/100 since there is two decimal points here
45/100 = 9/11.
50/110 * 100 =45 * 9/11.
The approximate answer from options is 45(5/11).
Three boundaries, that is 3 * 4 =12.
8 six , that is 8 * 6 = 48,
The score He runs between the wickets means.
reduce the above-mentioned values like boundaries and sixes from the total score, that is
110 - 12+48 = 50.
Percentage of 50 runs equal to
50/110 * 100%.
5000/110.
= 45.45.
.45 into fractional form.
Follow the following steps.
.45 to 45.
Then 45/100 here we taking 45/100 since there is two decimal points here
45/100 = 9/11.
50/110 * 100 =45 * 9/11.
The approximate answer from options is 45(5/11).
(8)
Nagendra said:
1 decade ago
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.
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.
(1)
Manikandan said:
4 years ago
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.
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.
(3)
Anand said:
6 years ago
@Nandu.
A boundary is the scoring of four or six runs from a single delivery with the ball reaching or crossing the boundary of the playing field. Occasionally there is an use of the term boundary as a synonym for a "four". For example, sometimes commentators say such as "There were seven boundaries and three sixes in the innings. " The correct terminology would be "There were ten boundaries in the innings of which seven were fours and three were sixes".
A boundary is the scoring of four or six runs from a single delivery with the ball reaching or crossing the boundary of the playing field. Occasionally there is an use of the term boundary as a synonym for a "four". For example, sometimes commentators say such as "There were seven boundaries and three sixes in the innings. " The correct terminology would be "There were ten boundaries in the innings of which seven were fours and three were sixes".
Suseela said:
1 decade ago
110 is the total score made by batsman. Which included 3*4 boundaries = 12, 8*6 boundaries = 48.
In question, they have asked the running score percentage of the batsman between wickets. Hence we need only running score, we have to subtract those boundary values from total running score.
So, 110-3*4+8*6 = 50.
Now, 50 is running score out of total running score by the batsman so, 50/110. The and should be in percentage.
So 50/110*100 = 45%.
In question, they have asked the running score percentage of the batsman between wickets. Hence we need only running score, we have to subtract those boundary values from total running score.
So, 110-3*4+8*6 = 50.
Now, 50 is running score out of total running score by the batsman so, 50/110. The and should be in percentage.
So 50/110*100 = 45%.
Sundar said:
1 decade ago
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.
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.
(1)
Nikhila said:
1 decade ago
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%
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%
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