Aptitude - Percentage - Discussion

Discussion :: 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?

[A]. 45%
[B].
45 5 %
11
[C].
54 6 %
11
[D]. 55%

Answer: Option B

Explanation:

Number of runs made by running = 110 - (3 x 4 + 8 x 6)

= 110 - (60)

= 50.

Required percentage = 50 x 100 % = 45 5 %
110 11

Video Explanation: https://youtu.be/X2zTnABqEHU


Varun said: (Sep 10, 2010)  
110 - (3 * 4 + 8 * 6)/110 * 100 = 500/11.

Radha said: (Dec 3, 2010)  
How 45 came?

Vino said: (Dec 21, 2010)  
Why we have to divide by 110 & multiply by 100?

Aparna said: (Dec 27, 2010)  
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.

Seshadri said: (Jan 6, 2011)  
How 45 came can you pls explain ?

Vicky said: (Jan 26, 2011)  
(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.

Aparna said: (Jan 28, 2011)  
@seshadri,
remember one thing
any fraction can be written in the following format

quotient *(remainder/divisor)

we get fraction as
500/11

just convert it into above format
thats it

Abinaya said: (Feb 23, 2011)  
Hai I can't understand this problem.

Vidyasagar said: (Mar 7, 2011)  
As 2*1/2 =5/2

Similarly 500/11=45* 5/11 that is

( (45*11)+5)/11

Navpreet Kaur said: (Apr 3, 2011)  
@VICKY HOW 4*1 PLZ EXPLAIN....

Shivananda.D.C said: (Apr 4, 2011)  
Just 50/100 is not correct?

Vivek said: (Apr 16, 2011)  
When we divide 500 by 11 then we get 45 as answer and 5 as remainder so B is the answer.

Pebble said: (Apr 18, 2011)  
I really clear and thx Aparna

Munisekhar said: (May 21, 2011)  
Runs=110;
fours=4*3=12;,sixes=8*6=48;
total=48+12=60;
110-60=50;
100=110
?=50;
45.51..

Anjum said: (May 26, 2011)  
Why we need to divide 50/110?

Nagendra said: (Jun 29, 2011)  
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.

Rita Shukla said: (Jul 21, 2011)  
3*4=12,
8*6= 48
48+12=60

Total run b/w the wickets 110 - 60=50

Therefore %= 50/110* 100 = 45.454545

Jay said: (Oct 29, 2011)  
In what ratio should wheat at Rs. 4.5 per kg be mixed with another variety at Rs. 5.25 per kg so that the mixture be worth of Rs. 5 per kg?

a. 1:2
b. 2:1
c. 1:3
d. 3:1.

Please anybody tel the answer with explanation.

Rajeev said: (Dec 1, 2011)  
3*4+8*6=60.

So answer will be (C).

Sundar said: (Dec 21, 2011)  
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.

Raj said: (Feb 22, 2012)  
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%

Nagabhushana said: (Jun 12, 2012)  
Let given that 110
4*3=12
6*8=48
12+48=60
110-60=50
(50/110)*100%
=45*5/11%

Nagajyothi said: (Jun 26, 2012)  
Thanks aprana your answer is very clear.

Nikhila said: (Aug 23, 2012)  
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%

Sarah said: (Sep 24, 2012)  
Is it just me or is this question impossible for those who have no knowledge on cricket terminology? i.e., 1 boundary means a score of 4?

Arun said: (Dec 25, 2012)  
Can any one explain me that how to convert decimal to fraction.

Anusha said: (Apr 11, 2013)  
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?

Anusha said: (Apr 11, 2013)  
What is the quantity A and Quantity B. How to compare?

Nitin Vaishnav said: (Jun 26, 2013)  
45 comes because:

50/110 X 100 = 5000/110 = 500/11.

Now divide the 500 with 11 and the answer is 45 5/11.

Rami said: (Jul 28, 2013)  
Please anybody tel me the answer with explanation for ratio in wheat question?

Manju said: (Aug 22, 2013)  
Just apply yours common sense if get marks in percentages ie (acquired marks/total marks) right, then you will get result.

Vijay said: (Aug 22, 2013)  
Total batsman score = 110.

Include 3*four and 8*sixes.

=12+48.

Include of six and four = 60.

Total score-sixes and fours = 110-60 = 50.

Percentage = Remaining without six and fours/total score**100.

= 110/50*100.

= 11/5*100.

= 1100/5.

= 45*5/11.

Prem said: (Aug 24, 2013)  
3*4=12,
8*6= 48,
48+12=60.

Total run b/w the wickets 110 - 60 = 50.

Therefore %= 50/110* 100 = 45.454545.

Sumanth said: (Sep 3, 2013)  
How 5 came in the last equation .i,e; 45*5/11?

Naveen said: (Oct 9, 2013)  
11)500(45
495
___
5

Quotient*(remainder/division) = 45*5/11.

Vikrant Raushan said: (Nov 26, 2013)  
@Jay. Answer to wheat problem.

Let x kg of 4.5 and y kg of 5.25 Rs variety.

So,

4.5x+5.25y = 5(x+y).

on solving we get,

0.25y = 0.5x.

(x/y) = 25/50.

x:y = 1:2.

Tejesh said: (Dec 11, 2013)  
Total runs = 110.
Covered by = 60.

110-60 = 50.
So 50/1100*100.

45*5/11.

Ash said: (Jan 17, 2014)  
500/11
    45
-----
11 ! 500
! 44
!----
60
55
-----
5

Hence we can write 500/11 = 45*5/11.

Rahul said: (Jul 16, 2014)  
Any one explain how 45 is came?

Arulsevi said: (Jul 27, 2014)  
Total runs = 110.

Runs got by boundary & sixes = 60//[4x3 + 8x6].
Runs got by wickets = 110-60 = 50.

They are asking what percentage 60 is what % of 110.

So, x% of 110 = 60.
x*110/100 = 60.

x = option B.

Chandu said: (Sep 13, 2014)  
800 is how much % of 7200?
800*%/100 = 7200.

By solving we get 800%.
And by using above method.

800/7200*100=11.11111111.
Which will be the correct method and what is the answer.

Harish said: (Oct 15, 2014)  
3 boundaries means 3*4 = 12 runs.
8 sixes means 8*6 = 48 runs.

Totally we have 60 runs only with boundaries and sixes.

Now given runs are 110.
Hence total score did he make by running between the wickets is,

110-60 = 50 runs.
So the percentage is (50/110)*100= 45.454545....%.

We will write this like 45(5/11)%.

Dheepthi said: (Nov 29, 2014)  
Here the required percentage is 50/100*100 then how 45 will came?

Supriya said: (Dec 17, 2014)  
How come 110?

Suseela said: (Dec 27, 2014)  
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%.

Rami said: (Jan 21, 2015)  
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}.

Alex said: (Feb 14, 2015)  
Any shortcut method for this kind of problem.

Prashanth said: (Feb 19, 2015)  
There are five digit integers a, b, c, d, e in ascending order.

(68-a)(68-b)(68-c)(68-d)(68-e) = 725 what is a+b+c+d?

Gma said: (May 8, 2015)  
Why we are divide 50/110 instead of 110/50?

Anshu said: (May 19, 2015)  
Tell some easy tricks which can be easily catched by everyone & in a short time.

Jyo said: (Jun 6, 2015)  
How did you get 4 and 6?

3*4 n 8*6?

Pravesh Kumar said: (Aug 5, 2015)  
How to this answer 20.45?

Shubham Sanware said: (Aug 8, 2015)  
Total boundaries and sixes are (3*4+8*6) = 60.

So the remaining score is running between the wicket.

i.e.110-60 = 50. Then we have to find 50 is what % of 110.

So the answer is 50/110*100 after solving this answer is 45 5/11%.

Shubham Sanware said: (Aug 8, 2015)  
Total boundaries and sixes are (3*4+8*6) = 60.

So the remaining score is running between the wicket.

i.e.110-60 = 50. Then we have to find 50 is what % of 110.

So the answer is 50/110*100 after solving this answer is 45 5/11%.

Shiva Shankar said: (Sep 1, 2015)  
In a fraction, the number is increased by 20% and the denominator is decreased by 10% then the value of the fraction becomes 5/7. Then find the original fraction?

Shivashankar said: (Sep 1, 2015)  
75% of A=120% of B. By what percent is A more than B ?

Yash said: (Sep 13, 2015)  
Total 3 boundaries 4*3=12, no.of six 6 = 8 = 48, than total = 60.

And total score is 110, and 110-60 = 50, and 50/110*100 = 45.45.

R Patel said: (Oct 23, 2015)  
How 4 and 6 came?

Srishivkeerthy said: (Nov 27, 2015)  
Total 110-((3*4)+(8*6)) = 110-60 = 50.

50 runs he got only by running between the wickets.

So percentage is (50/110)*100 = 45.5%.

Answer is 45.5%.

Iranna said: (Jan 30, 2016)  
How it divide the 50/110? Please explain?

Sharath said: (Jun 6, 2016)  
@Harish.

Really fantastic and simple explanation.

Ramesh said: (Jul 1, 2016)  
@Jay

1 : 2 is answer.

Afrin said: (Jul 28, 2016)  
Why should we write 50/110 * 100?

As my knowledge to get a percentage of 50 in 110 we have to calculate as 50/100 * 110.

Rahul said: (Sep 4, 2016)  
45 * (5/11)% = 45.45% then why option B and why not option A?

Uday said: (Sep 13, 2016)  
Total score 110.

3 boundaries = (3 * 4) =12.
8 sixes = 8 * 6 = 48.
12 + 48 = 60.

Remaining runs (110 - 60) scored by running.

So % is 50/110 * 100 = 500/11 = option b.

Rajasekhar said: (Sep 22, 2016)  
Thank you @Aparna.

Mustapha Dukuly said: (Sep 26, 2016)  
How do we know about 4, when it is not in the problem?

Eunice said: (Oct 25, 2016)  
Please, how did you get the 6 since it was not in the problem?

Esther said: (Oct 28, 2016)  
How do we know about 4, when it is not in the problem?

Surya Tez said: (Nov 9, 2016)  
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.

Hemalatha said: (Dec 7, 2016)  
Wonderful solution thank you all.

Vansh said: (Jan 8, 2017)  
Where the 8 come?

Manu said: (Mar 15, 2017)  
@Vansh.

8 comes because they had given 8 six so we multiply with 8.

Purwa said: (Mar 17, 2017)  
@All.

Thanks for giving the best explanations!

Rajesh.B said: (May 30, 2017)  
Total runs he scored = 110.
The scored 3 boundaries and 8 sixes=> 3 * 4 + 6 * 8 = 60,
The runs scored by him running between the wickets => 110 - 60 = 50.
By unitary method,
For 110runs ---------100%
For 50 runs ----------?.

That follows as = 50 * 100/110 = result.

Nizam said: (Jun 3, 2017)  
= 110-(3*4+8*6).
= 110-60.
= 50.
= 50/110*100.
= 5/11*100.
Percentage will be calculate first 5 * 100/11.

= 500/11,
= 45.45,
= 45.5/11.

Benil said: (Jun 14, 2017)  
110 out of 100.
50 out of ?.

We can cut all '0's cross way (X) or up and down (/).
The Answer may come like 5/11.
So we can conclude 45 * 5/11.

Ashok said: (Jul 5, 2017)  
How 4 came? Explain.

Anuz said: (Aug 23, 2017)  
We have divide by 100 and multiply by 110 right?

Priya said: (Sep 4, 2017)  
How 4 came?

Akhil said: (Sep 26, 2017)  
Why use 4 and how?

Adrian said: (Oct 12, 2017)  
Can someone please explain how you get 4?

Pavan said: (Oct 12, 2017)  
Can someone help me in solving the following question?

A salesman gets Rs. 1000Pm. Fixed salary. In addition, he gets 10% commission on his sales, if he wishes to earn a total of Rs. 6000 in a particular month, what should be his sales in the month?

A. Rs. 25000 b. Rs. 4000 c. Rs. 50000 d. Rs. 60000.

Please, someone explain with steps.

Prakash Jha said: (Nov 12, 2017)  
3x4+6x8 = 60 110-60 = 50.
50/110x100 = 500/11.

Shajona G Bert said: (Dec 7, 2017)  
(3*4)+(8*6)=60,
110-60=50,
50/110*100.

Abinav said: (Feb 27, 2018)  
Hi,

3 * 4 + 8 * 6 = 60 runs.

110 runs - 60 = 50 => 50/110 (110 from total runs). 110 = 50
100 = X so 110 times 5/110 = 45 5/11.

Varun said: (Mar 6, 2018)  
50/110*100.
So ans will be like 500/11,
500 is not divisible by 11.
So we write a mixed fraction,
That means 45 *11=495 remaining 5 will be there.

Ele said: (Jun 9, 2018)  
How come 4 here? Please explain me clearly.

Kumar said: (Jun 25, 2018)  
3 boundaries = 3*4=12,
8 sixes = 8*6=48,
=> 48+12=60 (runs scored with the help of boundaries),
runs scored by running b/w wickets = 110-60=50,
%runs scored by running = (50/110)*100.

Arun said: (Jul 1, 2018)  
3 boundaries 3*4.

8sixes 8*6.
48+12=60.
110-60=50.
Run scored by running=50/110*100.

Nandu said: (Jul 7, 2018)  
How come 4 here?

Please explain.

Anand said: (Aug 29, 2018)  
@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".

Divya said: (Aug 31, 2018)  
An article is listed at Rs 65. A customer bought this article for Rs 56. 16 with two successive discounts, out of which one is 10%. The other discount of this discount scheme that was allowed by the shopkeeper is?

Can anybody give the answer?

Roopsingh said: (Aug 31, 2018)  
How come 45? Please explain in detail.

Pem Pem said: (Sep 19, 2018)  
How come 3*4? I didn't get this.

Swayam Rampal said: (Sep 22, 2018)  
The answer given is incorrect. The correct answer is 40%.

Total runs=110.
No. of sixes= 8,
Runs by sixes=6*8=54,
No. of fours=3,
Runs scored by fours=4*3=12,
Runs between the wickets=110-(54+12)=110-66=44,
% runs scored between wickets= (44÷110)*100=40% ans.

Ostwal said: (Sep 29, 2018)  
Total run = 110.

No of sixes = 8,
Runs by 6= 8*6=48,
No of four =3,
Runs by four =4 * 3=12,
Runs between the wickets =110-60=50,
%of runs are 50 divided by 110 *100, = we will get the answer.

Mustafa said: (Oct 9, 2018)  
I am not getting this. Please tell me.

Kalyani Reddy said: (Dec 4, 2018)  
45.5% it's the correct answer.

Manikandan said: (Dec 14, 2018)  
How it comes (3*4 + 8*6) ?

Pavithra said: (Dec 21, 2018)  
How that 4 came please clear me?

Shraddha said: (Jan 19, 2019)  
How come 45? I am not getting, Please explain me in detail.

Dinesh said: (Jan 26, 2019)  
50/110 * 100 = 45.
In this way 45 is the correct answer.
How the answer will be 45 * 5/11%?

Aravind Ramamoorthy said: (Feb 8, 2019)  
Runs=110.
(Boundaries)fours = 4 * 3 = 12,
Sixes=8*6=48,
total=48+12=60,
110-60 = 50,
50/110 = 5/11,
5/11*100(%) = 500/11,
45*11= 495,
Balance = 5,
= 45 5/11.

Huda said: (Feb 15, 2019)  
Every boundary have a total of 4 years? What does it mean?

Vijayalakshmi said: (Feb 16, 2019)  
How 4 came here. Can anyone explain this?

Muskan said: (Mar 28, 2019)  
How means from where did 4 came!!!

Snehal said: (Apr 24, 2019)  
I can't understand this. Please, anyone explain it.

Ajay Bhagat said: (Jul 11, 2019)  
Nice Explanation, Thanks @Anshu.

Akshaya said: (Aug 13, 2019)  
How come 45? Please tell me.

Santosh said: (Aug 30, 2019)  
Nice Explanation. Thanks all.

Vasanth said: (Dec 5, 2019)  
Can any one say this type of questions will comE for IT industry

Spandana said: (Dec 16, 2019)  
Express (5% of 3.75+10% of 7.25) in decimals.

Manisha said: (Feb 6, 2020)  
@Pavan.
Let x be his sales.
6000 salary out of which 1000 is fixed.
So he earns 5000 out of his sales.
10% commission on his sales.
10*x/100 = 5000.
x = 50000.

Lakshmi said: (Mar 20, 2020)  
x% of 25 = 2.125 then x=?
please explain this.

Manal said: (Jul 24, 2020)  
How did 4 come? Please explain.

Raj said: (Sep 11, 2020)  
How 4 come here? Please explain.

Hema said: (Oct 28, 2020)  
How 45 will came? please explain it.

Manikandan said: (Nov 28, 2020)  
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.

Kavyaa said: (Jun 21, 2021)  
How does 4 come in multiply? Explain, please.

Prasanna said: (Jul 9, 2021)  
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.

Kashish said: (Aug 28, 2021)  
Thanks @Aparna.

Monisha Mohanan said: (Aug 29, 2021)  
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).

Nisha Kadam said: (Aug 29, 2021)  
Here, Why we subtract 60 from 110? Please explain me.

Nirmal S said: (Sep 6, 2021)  
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.

Anomi said: (Sep 7, 2021)  
@Nisha kadam.

Here we need to find runs percentage of the total run, that is why we have to subtract from the total.

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