# Aptitude - Percentage - Discussion

### Discussion :: Percentage - General Questions (Q.No.5)

5.

If A = x% of y and B = y% of x, then which of the following is true?

 [A]. A is smaller than B. [B]. A is greater than B [C]. Relationship between A and B cannot be determined. [D]. If x is smaller than y, then A is greater than B. [E]. None of these

Answer: Option E

Explanation:

 x% of y = x x y = y x x = y% of x 100 100

A = B.

 Girija said: (Jun 10, 2010) Very useful to all success people.

 Thimoty said: (Nov 5, 2010) Ya it is good answer.

 Sonu said: (Dec 15, 2010) One fourth of one third of two fifth of a number is 15. What will be 40% of that the no.

 Anand said: (Dec 25, 2010) Ans 4 sonu:. Its 180.

 Ashok said: (Dec 29, 2010) @Anand can u explain wht the procedure for coming 180

 Aparna said: (Jan 28, 2011) @sonu the answer is 18 sol: 1/4*1/3*2/5*x=15 we get x=15*30 x=450 and 40% of 450 means 40/100*450=18

 Vijay said: (Apr 28, 2011) @aparna 40/100*450=180 not 18

 Nana said: (Sep 10, 2011) Can you explain in deeply Rashmi ?

 Amit Kushwaha said: (Sep 13, 2011) We have (1/4 of 1/3 of 2/5)x of 40%=15 1/30 x of 40%=15 (x/30*100)/40=15 = 180

 Koriya1989 said: (Nov 25, 2011) Aparna 40% of 450 is 180 not 18

 Sri Ram said: (Dec 15, 2012) Why not. U are confused, here is the short cut. 10%of 450 is 45 then 40%of 450 will be 45*4=180.

 Jahid said: (May 12, 2013) I can't see fraction properly. What can I do?

 Akki said: (Sep 1, 2013) A = 10% of 100 => "10" (x) (y) B = 100% of 10 => "10" (y) (x) Then A = B.

 Deepesh said: (Jan 27, 2014) Why answer is not C?

 Anil said: (Feb 8, 2014) @Deepesh. Why it is not so because, if the given expression is not given then it is not possible to determine, but it is clearly given na that's why we can't say answer C.

 Manpreet Kaur said: (May 16, 2014) Ashas monthly income is 60% of Deepaks monthly income and 120% of Maya monthly income. What is Mayas monthly income if Deepak monthly income is 78000 ?

 Hemant said: (Jul 19, 2014) Mayas monthly income is 39000.

 Vaishnavi said: (Jul 22, 2014) @Hemanth can you explain how 39000 came?

 Suresh said: (Jul 28, 2014) Yah A=B so none of this ?

 Valli said: (Nov 13, 2014) Please give the exact explanation of Mayas income.

 Ani said: (Mar 15, 2015) If we take x value less than y then a is greater than b.

 Shani said: (Apr 13, 2015) Ashas Monthly Income = 60% of Deepak Income (78000). Ashas Monthly Income = 78000*60/100 = 46800. 120% of Maya Income = Ashas Monthly Income (46800). Maya Income = 46800/120%. Maya Income = 39000.

 Javid Mir said: (Jun 17, 2015) Hi, A = x% of y & B = y% of x. A/B = x/100*y/y/100*x. A/B = xy/100/xy/100. Or A/B = xy/100*100/xy. On cancellation we get A/B = 1/1. A = B.

 Abhi said: (Aug 21, 2015) 10% of 100 = 90 then 100% of 10 =100 not 90. So how a=b. Wrong answer.

 Mala said: (Oct 8, 2015) I still don't understand why it is not Answer C. If I know that A=B, then I can determine the relationship between them, they are the same. Or don't I understand the statement C? (I'm not a native speaker).

 Naveenreddy said: (Nov 19, 2015) Answer is wrong because take an example. x = 10, y = 100 (x is less than y). Then A = x% of y => 90. B = y% of x => 10. So, answer is 'D' not 'E'.

 Shilpa said: (Jan 17, 2016) 10 percent of 100 is 10.

 Manoj said: (Jan 22, 2016) I even don't understand the question.

 Alina said: (Jan 31, 2016) In such cases always assume some value for x and y. Let x = 100 and y = 100. (Note-always assume value which is divisible by denominator). Now A = x%y. A = x/100*y, but we substitute the assumed value of x and y. A = 100/100*100 (x = 100, y = 100 assumed value). You will get: A = 100. Now move to next part. B = y%x. B = x/100*y, but we again substitute the assumed value of x and y. B = 100/100*100 it will give you. B = 100. Now A = 100 and B = 100 therefore you can say that A = B.

 Shivaranjitha said: (Jun 27, 2016) @Abhi. 10% of 100 is 10 only not 90, if it is 10% lower by 100 then it is 90.

 Jahirul said: (Aug 12, 2016) I agree with @Mala, Why C is not the correct answer? Even I got the answer A = B.

 Rashal said: (Aug 21, 2016) In a club 40% of the members were female. 40 new male became a member of the club and as a result, the percent of female members dropped to 30%. How many females member are there in the club now? Can anyone solve this?

 Mamtha said: (Sep 22, 2016) I think 160 females.

 Mamtha said: (Sep 22, 2016) And, I did understood problem no. 5.

 Mayank Gupta said: (Sep 22, 2016) Amar, Anoop, and Aparna shared a certain amount among themselves such that Amar gets 20% more than Anoop and Anoop get 20% more than Aparna. Aparna got Rs 176 less than Amar. How much amount did Anoop get? Can anyone solve this?

 Srinu.K said: (Sep 26, 2016) I didn't understand the problem. So please clarify me.

 Neeru said: (Oct 6, 2016) Thanks to all. It's very useful.

 Mithu said: (Oct 16, 2016) I can't understand the problem Can anyone help me? THANKS in advance.

 Sarika said: (Dec 10, 2016) There is one simple concept. X% of y = y% of x. Consider, 40% of 100 = 100% of 40. 40 = 40.

 Inderjit Singh Saini said: (Dec 11, 2016) Good job, thank you all.

 Abdus Salam said: (Dec 16, 2016) Thank you @Sarika.

 Avay said: (Jan 12, 2017) @Rashal. Let total no of members are in club = x 40% are female = (40/100) * x. Then new 40 male members are add in the club. So, now total no of member are in club = x + 40. Now the % of female members dropped to 30% So no of females are = (30/100) * (x+40). Now 40/100) * x = (30/100) * (x+40). X = 120. Then female members are = 40/100) * 120. = 48 (ans).

 Samiullah said: (Jun 5, 2017) Good, Thank you @Sarika.

 Pooja said: (Jun 15, 2017) Thank you for explaining it.

 Sagar said: (Jun 17, 2017) According to me, Let's take A=2. and B=3. Then A%B=2%3= 2*3/100 = 6/100. and B%A= 3%2= 3*2/100 = 6/100. I answer is xy=xy not x=y.

 Asif Husain Jafri said: (Aug 12, 2017) let x=50 and y=100; A=x % 0f y. =100 of 50%. =50. B=y % of X. = 50 0f 100%. =50. A=B.

 Molik said: (Feb 10, 2018) How we know that A and B are equal?

 Mdbhatt said: (Apr 20, 2018) Thanks to all for explaining it.

 Abhishek said: (Jun 5, 2018) The population of the village is 5500. Males increase by 11% and females increased by 20% the population becomes 6330. What is the percentage of females? Can anyone answer me?

 Gavi said: (Jun 14, 2018) How C? Please explain.

 Anbu said: (Aug 31, 2018) It's very useful. Thank you all.

 Lakshmi said: (Dec 4, 2018) A=x% of y, = y * (x/100). B= y% of x, = x * (y/100).

 Gauri said: (Jul 31, 2019) Hello, guys as a beginner think very straight and you'll get the answer. The way it is mentioned just write it and solve: A= X% of Y. Similarly ; B = Y% of X. According to the percentage formula; AX/Y * 100. BY/X * 100. AX/Y = BY/X. Just cancel X and Y according to simple multiplication rule. And only left it A = B. And as it is not given in the option hence option E.

 Aditya said: (Jul 18, 2020) It is only true if you assume x=y.

 Neha said: (Oct 5, 2020) @Abhishek Total increase 6300 - 5500 = 830. Males = 11%. Females = 20 % = 11 % + 9% 11 % of 5500 = 605. So, 9 % of females = 830 - 605. = (225/9) * 100 = 2500.

 Ujjwal said: (Apr 21, 2021) It's really helpful. Thank you all.

 Rupesh Patil said: (Jun 25, 2021) It's Simple Let's take x =10 & y=500. So, A = x% of y & B = y% of x. Just put the values: A = (10%/100) * 500 = 50 & B = (500%/100) * 10 = 50, Hence A = B.

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#### Current Affairs 2021

Interview Questions and Answers
The text passage contains a mathematical question and an answer to that question. The question is about the relationship between two variables, A and B, defined as percentages of each other. The answer provided states that A and B are equal, and this is explained through a simple algebraic proof.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Aptitude - Percentage - Discussion

### Discussion :: Percentage - General Questions (Q.No.5)

5.

If A = x% of y and B = y% of x, then which of the following is true?

 [A]. A is smaller than B. [B]. A is greater than B [C]. Relationship between A and B cannot be determined. [D]. If x is smaller than y, then A is greater than B. [E]. None of these

Answer: Option E

Explanation:

 x% of y = x x y = y x x = y% of x 100 100

A = B.

 Girija said: (Jun 10, 2010) Very useful to all success people.

 Thimoty said: (Nov 5, 2010) Ya it is good answer.

 Sonu said: (Dec 15, 2010) One fourth of one third of two fifth of a number is 15. What will be 40% of that the no.

 Anand said: (Dec 25, 2010) Ans 4 sonu:. Its 180.

 Ashok said: (Dec 29, 2010) @Anand can u explain wht the procedure for coming 180

 Aparna said: (Jan 28, 2011) @sonu the answer is 18 sol: 1/4*1/3*2/5*x=15 we get x=15*30 x=450 and 40% of 450 means 40/100*450=18

 Vijay said: (Apr 28, 2011) @aparna 40/100*450=180 not 18

 Nana said: (Sep 10, 2011) Can you explain in deeply Rashmi ?

 Amit Kushwaha said: (Sep 13, 2011) We have (1/4 of 1/3 of 2/5)x of 40%=15 1/30 x of 40%=15 (x/30*100)/40=15 = 180

 Koriya1989 said: (Nov 25, 2011) Aparna 40% of 450 is 180 not 18

 Sri Ram said: (Dec 15, 2012) Why not. U are confused, here is the short cut. 10%of 450 is 45 then 40%of 450 will be 45*4=180.

 Jahid said: (May 12, 2013) I can't see fraction properly. What can I do?

 Akki said: (Sep 1, 2013) A = 10% of 100 => "10" (x) (y) B = 100% of 10 => "10" (y) (x) Then A = B.

 Deepesh said: (Jan 27, 2014) Why answer is not C?

 Anil said: (Feb 8, 2014) @Deepesh. Why it is not so because, if the given expression is not given then it is not possible to determine, but it is clearly given na that's why we can't say answer C.

 Manpreet Kaur said: (May 16, 2014) Ashas monthly income is 60% of Deepaks monthly income and 120% of Maya monthly income. What is Mayas monthly income if Deepak monthly income is 78000 ?

 Hemant said: (Jul 19, 2014) Mayas monthly income is 39000.

 Vaishnavi said: (Jul 22, 2014) @Hemanth can you explain how 39000 came?

 Suresh said: (Jul 28, 2014) Yah A=B so none of this ?

 Valli said: (Nov 13, 2014) Please give the exact explanation of Mayas income.

 Ani said: (Mar 15, 2015) If we take x value less than y then a is greater than b.

 Shani said: (Apr 13, 2015) Ashas Monthly Income = 60% of Deepak Income (78000). Ashas Monthly Income = 78000*60/100 = 46800. 120% of Maya Income = Ashas Monthly Income (46800). Maya Income = 46800/120%. Maya Income = 39000.

 Javid Mir said: (Jun 17, 2015) Hi, A = x% of y & B = y% of x. A/B = x/100*y/y/100*x. A/B = xy/100/xy/100. Or A/B = xy/100*100/xy. On cancellation we get A/B = 1/1. A = B.

 Abhi said: (Aug 21, 2015) 10% of 100 = 90 then 100% of 10 =100 not 90. So how a=b. Wrong answer.

 Mala said: (Oct 8, 2015) I still don't understand why it is not Answer C. If I know that A=B, then I can determine the relationship between them, they are the same. Or don't I understand the statement C? (I'm not a native speaker).

 Naveenreddy said: (Nov 19, 2015) Answer is wrong because take an example. x = 10, y = 100 (x is less than y). Then A = x% of y => 90. B = y% of x => 10. So, answer is 'D' not 'E'.

 Shilpa said: (Jan 17, 2016) 10 percent of 100 is 10.

 Manoj said: (Jan 22, 2016) I even don't understand the question.

 Alina said: (Jan 31, 2016) In such cases always assume some value for x and y. Let x = 100 and y = 100. (Note-always assume value which is divisible by denominator). Now A = x%y. A = x/100*y, but we substitute the assumed value of x and y. A = 100/100*100 (x = 100, y = 100 assumed value). You will get: A = 100. Now move to next part. B = y%x. B = x/100*y, but we again substitute the assumed value of x and y. B = 100/100*100 it will give you. B = 100. Now A = 100 and B = 100 therefore you can say that A = B.

 Shivaranjitha said: (Jun 27, 2016) @Abhi. 10% of 100 is 10 only not 90, if it is 10% lower by 100 then it is 90.

 Jahirul said: (Aug 12, 2016) I agree with @Mala, Why C is not the correct answer? Even I got the answer A = B.

 Rashal said: (Aug 21, 2016) In a club 40% of the members were female. 40 new male became a member of the club and as a result, the percent of female members dropped to 30%. How many females member are there in the club now? Can anyone solve this?

 Mamtha said: (Sep 22, 2016) I think 160 females.

 Mamtha said: (Sep 22, 2016) And, I did understood problem no. 5.

 Mayank Gupta said: (Sep 22, 2016) Amar, Anoop, and Aparna shared a certain amount among themselves such that Amar gets 20% more than Anoop and Anoop get 20% more than Aparna. Aparna got Rs 176 less than Amar. How much amount did Anoop get? Can anyone solve this?

 Srinu.K said: (Sep 26, 2016) I didn't understand the problem. So please clarify me.

 Neeru said: (Oct 6, 2016) Thanks to all. It's very useful.

 Mithu said: (Oct 16, 2016) I can't understand the problem Can anyone help me? THANKS in advance.

 Sarika said: (Dec 10, 2016) There is one simple concept. X% of y = y% of x. Consider, 40% of 100 = 100% of 40. 40 = 40.

 Inderjit Singh Saini said: (Dec 11, 2016) Good job, thank you all.

 Abdus Salam said: (Dec 16, 2016) Thank you @Sarika.

 Avay said: (Jan 12, 2017) @Rashal. Let total no of members are in club = x 40% are female = (40/100) * x. Then new 40 male members are add in the club. So, now total no of member are in club = x + 40. Now the % of female members dropped to 30% So no of females are = (30/100) * (x+40). Now 40/100) * x = (30/100) * (x+40). X = 120. Then female members are = 40/100) * 120. = 48 (ans).

 Samiullah said: (Jun 5, 2017) Good, Thank you @Sarika.

 Pooja said: (Jun 15, 2017) Thank you for explaining it.

 Sagar said: (Jun 17, 2017) According to me, Let's take A=2. and B=3. Then A%B=2%3= 2*3/100 = 6/100. and B%A= 3%2= 3*2/100 = 6/100. I answer is xy=xy not x=y.

 Asif Husain Jafri said: (Aug 12, 2017) let x=50 and y=100; A=x % 0f y. =100 of 50%. =50. B=y % of X. = 50 0f 100%. =50. A=B.

 Molik said: (Feb 10, 2018) How we know that A and B are equal?

 Mdbhatt said: (Apr 20, 2018) Thanks to all for explaining it.

 Abhishek said: (Jun 5, 2018) The population of the village is 5500. Males increase by 11% and females increased by 20% the population becomes 6330. What is the percentage of females? Can anyone answer me?

 Gavi said: (Jun 14, 2018) How C? Please explain.

 Anbu said: (Aug 31, 2018) It's very useful. Thank you all.

 Lakshmi said: (Dec 4, 2018) A=x% of y, = y * (x/100). B= y% of x, = x * (y/100).

 Gauri said: (Jul 31, 2019) Hello, guys as a beginner think very straight and you'll get the answer. The way it is mentioned just write it and solve: A= X% of Y. Similarly ; B = Y% of X. According to the percentage formula; AX/Y * 100. BY/X * 100. AX/Y = BY/X. Just cancel X and Y according to simple multiplication rule. And only left it A = B. And as it is not given in the option hence option E.

 Aditya said: (Jul 18, 2020) It is only true if you assume x=y.

 Neha said: (Oct 5, 2020) @Abhishek Total increase 6300 - 5500 = 830. Males = 11%. Females = 20 % = 11 % + 9% 11 % of 5500 = 605. So, 9 % of females = 830 - 605. = (225/9) * 100 = 2500.

 Ujjwal said: (Apr 21, 2021) It's really helpful. Thank you all.

 Rupesh Patil said: (Jun 25, 2021) It's Simple Let's take x =10 & y=500. So, A = x% of y & B = y% of x. Just put the values: A = (10%/100) * 500 = 50 & B = (500%/100) * 10 = 50, Hence A = B.

#### Post your comments here:

Name *:

Email   : (optional)

» Your comments will be displayed only after manual approval.

#### Current Affairs 2021

Interview Questions and Answers
user
The text passage contains a mathematical question and an answer to that question. The question is about the relationship between two variables, A and B, defined as percentages of each other. The answer provided states that A and B are equal, and this is explained through a simple algebraic proof.

TYPE: SINGLE_QUESTION_WITH_ANSWER