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Discussion :: Ratio and Proportion - General Questions (Q.No.2)
| 2. | Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is: | ||||||||||||||||||||||||||||
Answer: Option C Explanation:
Let the third number be x.
|
| Ganapathy said: (Jul 7, 2010) | |
| Let third no be 100.
the first no is 20% more than third so 120
similarly second no is 50% more than third so 150
just compare 120:150 4:5 |
| Sheetal said: (Jul 29, 2010) | |
| Suppose the 3rd no is X.
so 1st no will be X*1.2.
&2nd no will be X*1.5.
so the ratio is 1.2:1.5, Hence 4:5 |
| Ramesh said: (Dec 9, 2010) | |
| 120/100 : 150/100
120:150
12:15 4:5 |
| Xyz said: (Jan 22, 2011) | |
| 20%=1/5
50%=1/2 So ratio should be equal to 1/5:1/2
Ans= 2:5 ? |
| Ramesh said: (Feb 10, 2011) | |
| Dear xyz, it is not 20% and 50%, but it is 20% and 50% MORE THAN third number. If third no is 100, it is 120 and 150
So, 120 : 150
12: 15 or 4:5 |
| Sridhar said: (Feb 23, 2011) | |
| Why should take the value of third no is 100 only? why not 60, 70, 80. |
| Sathya said: (Feb 24, 2011) | |
| Let 3rd no is x
20%of x=(20/100)*x
50%of x=(50/100)*x
1/5x:1/2x ans=2:5 |
| Suganya.P said: (Jun 13, 2011) | |
| I do know understand this concepts please explain. |
| Sumit said: (Jun 24, 2011) | |
| Let it be of 100. It is most convennience. |
| Sathi said: (Jul 1, 2011) | |
| Take A,B,C as three numbers A is 20% more than C A=C+20%of C=C+0.2C=1.2C same way B=C+50%of(C)=C+0.5C=1.5C ratio A/B=1.2C/1.5C=4/5
Ans 4/5 |
| Sruthi said: (Jul 4, 2011) | |
| Sathi's concept is right. |
| Haseeb Siddiqi said: (Jul 11, 2011) | |
| Ramesh's method is good and easy. |
| Naveen said: (Jul 16, 2011) | |
| Take 10 and 20% more than 10 is 12 and 50% more than 10 is 15 so the ratio is 12:15 which is nothing but 4:5 . |
| Kunal said: (Sep 4, 2011) | |
| Why take third number as 100? |
| Priyabrata Muduli said: (Sep 18, 2011) | |
| Sathi's concept is right. |
| Manimekalai.V said: (Sep 22, 2011) | |
| Ganapathy method is good. |
| Abhishek said: (Oct 2, 2011) | |
| I took x:x+20:x+50 then i assumed x+(x+20)+(x+50)=100 3x+70=100
x=10
hence the ration is 30/60
1/2
where did i go wrong? |
| Sandeep said: (Oct 3, 2011) | |
| Some one explain why it is 100? |
| Kushi said: (Oct 13, 2011) | |
| Thanks sathi. |
| Ali said: (Nov 4, 2011) | |
| Hey guys plz don't bother!
let us make it simple...
it was said that first number is 20% more than third number
and second number is 50% more than third number..
now,
we assume the third number is "x".
we all know that "x" means "1x" not just "x" so 20% more and 50% more than third number means
(20%)+(1x) and (50%)+(1x)
=(0.2)+(1x) and (0.5)+(1x)
=1.2x and 1.5x
now
1.2 : 1.5
let us forget the decimal and assume it 12 : 15
now simplify 12 : 15
i.e divide it by 3.
you'll get 4:5
that's it.... |
| Nidhi said: (Nov 12, 2011) | |
| Ganapathy you are awsome. |
| Richa said: (Nov 26, 2011) | |
| Sathi method is very good. |
| Gnaneswar said: (Jan 3, 2012) | |
| Sathi concept is perfect. |
| Enigma said: (Jan 8, 2012) | |
| How can one add a costant n a variable?
dats wrong..!
its simply..
x=20/100*z+z
y=50/100*z +z if z is taken as the third no.. :) |
| Sasa said: (Jan 13, 2012) | |
| Ali and ganapathy good work :). |
| Gitty said: (Feb 1, 2012) | |
| If you take x as 100 we will get 4:5..agreed. What is the problem in taking x as a variable itself..? Then the answer become 2:5,right..? could anyone please explain ? |
| Satish Rathnam said: (Feb 10, 2012) | |
| ok mr.gitty take 'x' only. u will get 4:5 =>1st number :2nd number => 20% more than X : 50% more than X => now cancel "more than X" on both sides => 20% : 50 % => 1.2 : 1.5
=> 4:5 |
| Prashant said: (Feb 21, 2012) | |
| 20% of 'x' + 'x' (20% more than third number) => 120/100x |
| Yash said: (Jun 23, 2012) | |
| I understand the method but why we add 100 in 20% and 50%. If we take third no is x so how a variable is added in 20% and 50%. But satish your method is simple and understood to me. |
| Bharadwaj said: (Aug 21, 2012) | |
| Sathish ratnam was explained very well. |
| Neethukasi said: (Sep 18, 2012) | |
| Ya ramesh's method is more easy. |
| Sajal Das said: (Oct 15, 2012) | |
| Let the 2 Nos are A and B and the 3rd No. is C. According to the question A is 20% more than C. i.e., A=(1.2)C and B is 50% more than C. i.e., B=(1.5)C.
And so the ratio is {(1.2)C}/{(1.5)C} = 4/5 , i.e., 4:5. |
| Ramaniah said: (Nov 26, 2012) | |
| Let us know the number is x. Then 1st number is 1.2x. Then the 2nd number is 1.5x.
The the ratio of two numbers are 1.2x:15x=> 1.2 :1.5 =>4:5. |
| Hussain Ali said: (Jul 13, 2013) | |
| Let A, B, C are three numbers. A is 20% more than C. So A become: A= C+20%of C = C+0.2C = 1.2C. B become:
B= C+50%of(C)= C+0.5C = 1.5C. And ratio between A/B is:
1.2C/1.5C = 4/5.
Hence answer is:4/5. |
| Hassan said: (Jul 18, 2013) | |
| Suppose a number, 100____120. 100 ___150. Hence the numbers are increasing by 20 and 50% 120 : 150. 12 : 15.
4 : 5. |
| Nive said: (Aug 9, 2013) | |
| We know there are 3 numbers. Think.,
1st one X.
2nd one Y.
3rd one Z. Then assume that Z's value a. Now X=a+20%. Y=a+50%. Put a=10. Now we get X=12; Y=15.
So the ratio of X and Y is 4:5. |
| Nishant Raj said: (Sep 18, 2013) | |
| Very simple method is: Let assume that 3th number is = 100. Then, a/c to ques. A = 120. B = 150. Ratio of number A/B = 120/150. = 4/5.
A:B = 4:5 (ANS. C). |
| Naman said: (Nov 4, 2013) | |
| Ratio is 1.2 : 1.5 : 1. = 12 : 15 : 10. = 4 : 5 : 1.
Hence 4 : 5. |
| Gok said: (Nov 28, 2013) | |
| Please clearly say why you added 100 in 20% and 50%? |
| Giri said: (Jan 7, 2014) | |
| Let x be 3rd number then, 1st number is 20% greater than 3rd number,so 1st number is equal to x+(x*(20/100)).
x(1+(20/100)).
x((100+20)/100).
x*(120/100).
That why we will add 100 to given percentage to find increase in it. |
| Mayank Mathur said: (Jan 18, 2014) | |
| Given % is 20 & 50.
Let the 3rd no is 100. Then for A = 20% more means number is 120.
Similarly for B number is 150. Ratio 120: 150.
12:15. 4:5 (divide by 3 to both number ). |
| Gaurav said: (Mar 30, 2014) | |
| Confused guys. Please read the question carefully. Its first and 2nd number is 20% and 50 % more than the third number.
Obviously that means that the third number should be 100% or you can take it as 100. |
| Narayana Rao Gartam said: (Aug 7, 2014) | |
| Consider third number as 100, to do easy and better calculations. |
| Samira said: (Aug 9, 2014) | |
| Hey @Satish how you get 1.2 & 1.5 ? |
| Hemant said: (Sep 6, 2014) | |
| 100+20:100+50 = 120:150 = 4:5. |
| Kavinraj said: (Sep 8, 2014) | |
| Hi.
my explanation is, assume your 3rd num is 10, 20%of 10=2 so 1st no is 12.
50%of 10=5, so 2nd no is 15.
So ratio of 12:15 = 4:5. |
| Svs said: (Oct 27, 2014) | |
| Hi, I really confuse.
Please clear my doubt. Which is correct answer? Please tell.
@Sathya said 2:5.
Anyone tell correct answer? |
| Akshay said: (Oct 28, 2014) | |
| @Nive. Method is actually according to the question approach. Its is valid. a = c+20%. b = c+50%. a/b = 100c+20/100c+50. Now c definitely having some value so consider it as 1 we can't consider it as 0 because it has some value and on other hand we have to consider it as 1 because it has some non zero value.
So a/b = 0.8 i.e. 4/5. |
| Rosh said: (Jan 16, 2015) | |
| Let 3rd no be x then. (x+120/100):(x+150/100). Take LCM 100 gets cancelled. 100x+120 = 100x+150. We get 120 = 150.
So 4 : 5. |
| Abhinav said: (Feb 11, 2015) | |
| Let number = x, y, z. Then, x = 20% of z + z = 6z/5. y = 50% of z + z = 3z/2.
Ratio is x/y = 4/5. |
| B.Lingaswamyyadav said: (Mar 7, 2015) | |
| Let the third number will taken as 100. = 120/100 = 150/100 = 12 = 15.
= 4 = 5. |
| Niz said: (Apr 1, 2015) | |
| If a, b, c. a = c + 20% of c. i.e a = c + 20/100*c. a = c + 0.2 c. i.e 1.2 c. Also b = c + 50% of c. i.e b = c + 50/100*c b = c + 0.5 c. i.e 1.5 c. Ratio between three numbers. = 1.2 c : 1.5 c : c. = 1.2 : 1.5.
i.e 4 : 5. |
| Jaity said: (Apr 30, 2015) | |
| But why did we took 120% instead of 20% and 150% in place of 50%? |
| Anish Sharma said: (May 18, 2015) | |
| Listen 20% more than third no and 50% more than through number. So, First-> solve the 20% = 20/100 = 0.2. But 20% more than third no, so we will add a third no. And assume the third no. is x and x mean (1x) not a simple x. So 0.2+1x = 1.2. Second-> same for 50% = 50/100 = 0.5. 0.5+1x = 1.5.
= 1.2:1.5.
= 12:15.
So you can say: 4:5. |
| Santosh said: (May 31, 2015) | |
| Somebody let me know What is the ratio and what is the implementation of this? |
| Parikshit said: (Jun 30, 2015) | |
| Question says that two numbers are 20% and 50% MORE THAN third no then it should be like this: No third no = X. No A = 120*X/100+X. B = 150*X/100+X.
But it gives 22:25. |
| Usha said: (Aug 14, 2015) | |
| Hey anyone can explain what is meaning by third number and how its became 20% to convert 120 and 150 please explain guys. |
| Vamshi said: (Sep 11, 2015) | |
| Let the third number be x = 100. The first number is 20% more than third number so 100+20% = 120. The second number is 50% more than third number so 100+50% = 150.
= 120:150 = 4:5. |
| Manas said: (Oct 3, 2015) | |
| Out of three number, the first number and the second number are respectively 25% and 30% less then the third number. By what percentage is the second number less then the first? Can any one solve the problem? Then please. |
| Chex said: (Oct 9, 2015) | |
| Let x be the third value, hence. 20% of x = x+(20/100*x) = x+(x/5) = 6x/5. 50% of x = x+(50/100*x) = x+(x/2) = 3x/2. Now ration is,
(6x/5)/(3x/2) = 12x/15x = 4/5. |
| Lokesh Anand said: (Oct 21, 2015) | |
| Let third number is 100. Than 20% of third = 20 & 50% of third 50. Than first number = 120(100+20). Then second number = 150(100+50). By question, Ratio of two number = First number:Second number.
= 120:150 = 4:5. |
| Ramanan said: (Nov 14, 2015) | |
| Let the third number be x given that: x+20% : x+50%. x+0.2 : x+0.5. (we know x is '1x'). So, 1x+0.2 : 1x+0.5. = 1.2x : 1.5x. (To remove decimal points we are multiply in both sides by 10). = 1.2x*10 : 1.5x*10. = 12x : 15x. By simplifying, = 4 : 5.
(x will get cancelled when 12x/15x). |
| Harshitta said: (Feb 13, 2016) | |
| How to calculate to 1.2 and 1.15? How to get answer 4 = 5? I can't understand. |
| Shafai Rizvi said: (May 7, 2016) | |
| @Harshitta. It is 1.2 and 1.5 (not 1.15). So now simplify it,
= 1.2/1.5 (points cancel out).
= 12/15 (cancel out by 3). = 4/5. |
| Maha said: (Jun 5, 2016) | |
| Lets us take c value as 100 then a value is 20% more.
So, c becomes 120 Similarly, b becomes 150 then, 120 : 150 becomes 4:5. |
| Sameer Khan said: (Jul 18, 2016) | |
| Ganapathy and Ramesh concept are easy and right. |
| Manish Kumar said: (Jul 26, 2016) | |
| What to do, if asked for third number? |
| Dibya said: (Aug 1, 2016) | |
| Sathi concept is good. |
| Manishanaveen said: (Aug 23, 2016) | |
| The third number be x.
Let a and b are two numbers with more than 20% and 50% of x. a = x + 20%x.
b = x + 50%x. We should find ratio a : b. a/b = (x + 20%x)/(x + 50%x) we know % converted into (/100),
a/b = (x + 20x/100)/(x + 50x/100),
so we get a/b = (100x + 20X/100x + 50x). a/b = (120x/150x)
a/b = 4/5. Ratio of a = 4 and b = 5. Shortcut: So just us 100 as x for removing % a =100 + 20.
b =100 + 50. a : b = 120 : 150.
And hence a/b = 12/15. a/b = 4 : 5 |
| Rakesh said: (Sep 7, 2016) | |
| @Ganapathy concept is very nice. |
| Anjaney said: (Sep 8, 2016) | |
| @Kunal.
It is 100 because ratio should be treated as 100. |
| Shahjahan said: (Oct 1, 2016) | |
| How you get 120 and 150? Confused. Please help me. |
| Cik_Nani said: (Oct 7, 2016) | |
| How do you get 120/100? And how do you get the answer 6 over 5? I'm confused. Please clarify me. |
| Abinash said: (Oct 20, 2016) | |
| If a and b incomes are in the ratio 9:4. Their expenditure are 8:3. Each saves rs 2500. Then expenditure of b?
Please tell me the answer for this. |
| Rashid Ali said: (Nov 28, 2016) | |
| The correct answer is 2:5. I'm explaining bellow 20% means X is multiplied with 100. For example : 95% of 80 = 80 * 95/100 = 76.
If you are agree with this concept then, 20% = 20/100 and 50/100.
20% = 1/5 and 50% = 1/2
A 1/5 : B 1/2 =2 : 5.
Hence answer is 2 : 5. |
| Rajini said: (Dec 22, 2016) | |
| Your concepts is good @Ganapathy and @Ramesh. |
| Alexa said: (Jan 13, 2017) | |
| % always means 100 so we 1st take 100 as the cmplt no. |
| Changaganjeet Singh said: (Mar 4, 2017) | |
| Your method is easy.
Thanks @Ramesh. |
| Chan Gaganjeet Singh said: (Mar 4, 2017) | |
| Let the third no. Be = 100.
Then add 100 in 20% and 50%. It will be 120 and 150. =120 : 150,
= 12 : 15, = 4 : 5. |
| Shah Saain said: (Mar 18, 2017) | |
| @Ali.
Good and clear method. Thanks. |
| Aayusha said: (Apr 20, 2017) | |
| I understand now, thank @Satish Rathnam. |
| Juke said: (Apr 22, 2017) | |
| Here is my solution. Let,
x be the first num.
y be the 2nd.
z be the 3rd. x is larger than z by 20% so,
x=1.2z : z=x/1.2.
y is larger than z by 50% so.
y = 1.5z : z = y/1.5.
Equate z, x/1.2 = y/1.5.
x/y = 1.2/1.5.
x/y = 4/5.
4:5. |
| Valar Morghulis said: (Jul 19, 2017) | |
| I have a doubt that most people are facing here it seems: It's written 20% more than the third number so we took Z(third number) + (20/100)*Z.
What should be written if the equation comes as Z + 20/100?
Please, someone, take a time to help me and clarify this. Thank you. |
| Ravi said: (Aug 18, 2017) | |
| Simply, we all know that in Case Of percent 100 % is max percentage. So take 3rd number be 100%
A say more than 3rd no. That is 20%+100%=120% or 1.2
B say more than 3rd no. That is 50%+100%=150% or 1.5 Now, divide A/B=1.2/1.5=4:5. |
| Aafaque Ali said: (Nov 17, 2017) | |
| Percent = cent means 100 okey then. 20% n 50% just add them a 100.
120 n 150.
120 : 150 simplify. 4:5 Answer simple way. |
| Bdyachan said: (Dec 27, 2017) | |
| Let 3rd no. X.
20% of X =x/5,
So required no= X+x/5 =6x/5 (due to 20%more),
and 50% 0f X=x/2 , so required no =X+x/2=3x/2 (due to 50% more), Now ratio =6x/5*2/3x=4:5 (ans 0). |
| Limsss said: (Sep 16, 2018) | |
| Thanks all for explaining this. |
| Azan said: (Oct 15, 2018) | |
| How come 120 and 150? |
| Riddhi said: (Nov 9, 2018) | |
| Why you take 100 here? Please explain me. |
| Sayani said: (Dec 14, 2018) | |
| We can assume the third number as 100. |
| Trimu said: (Dec 17, 2018) | |
| Let, The 3rd number be 100. Then the 1st number is more than 20% than the 3rd number so 100+20=120.
Similarly, 2nd number is 100+50= 150.
Now the ratio of two numbers, 120:150, 4:5. |
| Anomie said: (Feb 2, 2019) | |
| @All who have a doubt that why does 100 only comes in place of x.
It is so because percentage is always 100. Therefore x = 100. |
| Sushant Pal said: (Mar 29, 2019) | |
| a : b: 20%:50%
20/100 = 2/5
50/100 = 1/2
a:b :: c:d.
2:5 :: 1:2. = answer 5:4 or 5/4. |
| Bindu D K said: (Jul 13, 2019) | |
| 20%= 120.
50% = 150. 120:150 = 120/150 = 4:5. |
| Sindhu said: (Jul 18, 2019) | |
| Let the third number be 100. Then 20% of 100 is 20,
And 50% of 100 is 50,
Then the 1st number is 120, The 2nd number is 150,
So, the ratio between 120 and 150 is 4:5.
Thanks. |
| Aabir said: (Feb 5, 2020) | |
| I could not understand it. Please explain it. |
| Prashant said: (May 15, 2020) | |
| Why we convert this 20% to 120%? |
| Arya said: (Jun 12, 2020) | |
| How you get to know that third number is 100? Please explain. |
| Ugyen Dema said: (Jul 21, 2020) | |
| I am getting 2:5. Please anyone explain the answer clearly. |
| Shaik Mansoor said: (Oct 3, 2020) | |
| They said comparing both 1st & 2nd third parts is less and it is Percentage. So For third part take it as 100%. Then for 1st part 120% & 2nd part 150%. Then 120% : 150% : 100%. Then the answers is 4:5. |
| Preetam Paul said: (Oct 11, 2020) | |
| How come 120 percent? Please explain. |
| Ayushi said: (Jan 26, 2021) | |
| Thanks @Ali. |
| Morepankh said: (Apr 8, 2021) | |
| ATP, 1st no., Is 20% more than 3rd no.
Let 3rd no., be x; Then, 1st no.,=(20/100)*x+x. 2nd no.,=(50/100)*x+x.
Finally,
1st = 120x/100.
2nd = 150x/100.
3rd = x. Ratio required = 120x/100:150x/100. = 4:5. |
| N.Prasanth said: (May 12, 2021) | |
| 120/100:150/100
= 120:150,
= 12:15, = 4:5. |
| Shalini E said: (May 20, 2021) | |
| Thank you all for explaining the concept. |
| Simran said: (May 22, 2021) | |
| Let c is 1,
then,
first = 1 + 0.20*1,
second = 1 + 0.50*1, ratio = 4:5. |
| Sravan said: (Aug 3, 2021) | |
| Here, Why should we consider 100? Please explain. |
| Surya said: (Aug 20, 2021) | |
| Thanks for explaining @Ganapathy. |
| Shakti said: (Sep 16, 2021) | |
| Let 3rd number is "c" and the 1st and 2nd is; A,B. Then,
A is the 20% more than c. Means A = c+20%c.
= c+.2c.
= 1.2c. Same hear,
B is the 50% more than of c.
Means. B = c + 50%c. = c + .5c, = 1.5c.
Then the 2 number ratio is, A:B = 1.2c:1.5c.
(Multiply in both sides 10 to avoid the decimal point)
1.2c * 10:1.5c * 10.
12c:15c, 4:5. |
| Samm said: (Sep 30, 2021) | |
| How to solve if we have been asked the 2nd number is greater than 100. Like, Two numbers are respectively 40% and 110% more than a third number. The ratio of the two numbers is:?
Anyone, please help me. |
| Divya said: (Dec 28, 2021) | |
| @All. Here,
First and second numbers 20% and 50% more that means 120:150 simply this we will get 4:5. |
| Rahul Kumawat said: (Aug 16, 2022) | |
| Suppose the 3rd number is x.
Then first no. will be more than 20% of third no.
So first no.=x+20x/100=6x/5.
second n0.=x+50x/100=3x/2. so, the ratio of first and second no.=6x/5*2/3x=4:5. |
| Biswajit Paul said: (Sep 17, 2022) | |
| 20% -----> 4*5=20% 50% ------> 5*10=50% Ratio is ---- (c) 4 : 5.
So, Option (C) is the Right answer. |