Aptitude - Ratio and Proportion - Discussion

Discussion :: Ratio and Proportion - General Questions (Q.No.1)

1. 

A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?

[A]. Rs. 460
[B]. Rs. 484
[C]. Rs. 550
[D]. Rs. 664

Answer: Option B

Explanation:

4 A = 2 B
15 5

A = 2 x 15 B
5 4

A = 3 B
2

A = 3
B 2

A : B = 3 : 2.

B's share = Rs. 1210 x 2 = Rs. 484.
5


Gauri said: (Sep 4, 2010)  
Is it necessary to find ratio of A and B? Can we find share of B directly?.

Anji said: (Oct 6, 2010)  
How you will find B's share directly, tell me?

Sridhar said: (Oct 12, 2010)  
A+B=1210

(4/15)A=(2/5)B

2A=3B

Therefore, A=(3B)/2

and substituting, (3B/2)+B=1210

and hence, 5B=2420 => B=484 Rs.

Nitesh Nandwana said: (Oct 16, 2010)  
@Hi Gauri

Don't confuse about 2/5 it isn't that which is in question statement while it is (A:B=3:2 so B's =2/5)

Venkatraman said: (Nov 27, 2010)  
@Sridhar

Thank you :)

Regha said: (Dec 13, 2010)  
I cant understand B s Share Rs (1210*2/5).

A;3;2, why we wand to find reply?

Bhuvi said: (Dec 16, 2010)  
Hey rekha,
It is nothing.They used the formula
To find a=total amt given*(a ratio/a+b ratio)
To find b=total amt given*(b ratio/a+b ratio)

Bobby said: (Dec 26, 2010)  
Thanks Sridhar.

Anil said: (Feb 22, 2011)  
4/15*(1210-B)=2/5*B
=>5B=2*1210
=>B=2*1210/5
=>B=484

Rath said: (Mar 5, 2011)  
Thanks bhuvi. Now I understand.

Sonali said: (May 19, 2011)  
Thanks sridhar.

Ashu said: (Jun 29, 2011)  
Thanks sridhar....

Velu said: (Jul 15, 2011)  
Thanks bhuvi.

Khushboo said: (Jul 19, 2011)  
Thanks sridhar.

Karthik said: (Aug 12, 2011)  
Thnx sridhar you done it nice manner.

Dev said: (Sep 6, 2011)  
Yeah, Sridhar you have made this really comprehensive. And Thanks to Bhuvi also.

Gnanendra. said: (Sep 15, 2011)  
Thanks sridar your answer is very clear.

Rajaduraieee said: (Sep 21, 2011)  
Thanks sridhar.

Manoj said: (Sep 23, 2011)  
Shridhar your way is suficient for time consuming....!

Kushi said: (Oct 13, 2011)  
Thanks sudhir. Now I understand.

Hamzajawad said: (Oct 17, 2011)  
Thanks you sridhar your answer is very clear.

Prakash said: (Dec 15, 2011)  
B'S =2/5
A's =3/5
so how A IS EQUAL TO B(A=B)

Prkz said: (Dec 18, 2011)  
Nothing ya. just simple.

4/15=2/5

How it will bcom equal ? just c the denominator.
4/15
If you multiply 5 by 3 u will get 15 do it in the numerator also so it becoms 6/15 for B. calculate ratio for B now 1210*6/15= 484

solution.
4/15 = 2/5
4/15 = 2/5*3/3
4/15 = 6/15
therefor A:B 4:6
1210 * 6 / 15
484

Ramesh said: (Jan 1, 2012)  
Nice one more method
1210 is total of 2 members

Assume b is x
therefore is A is 1210-x
so 4/15*(1210-x)=2/5*x
4(1210-x)=6x
10x=4840
x=484

Prasanna said: (Jan 9, 2012)  
Thanks sridhar...

Thilagavathi said: (Feb 17, 2012)  
Superb sridhar.

Thejaswi said: (Apr 9, 2012)  
A+B=1210
(4/15)A=(2/15)B
A=(15/4)(2/5)B
A/B=3/2
Take it as A/3=B/2
Adding denominators 5P.
So,5P=1210
P=242
B's Amount is 2P i.e,2(242)=484

Deepthi Palreddy said: (Jun 26, 2012)  
Thank you sreedhar.

Pradeep said: (Aug 17, 2012)  
Can anyone please explain, how u can find out the ration of A & B because in question they only tell that if of A's amount is equal to of B's amount. and also explain meaning of this line and how u can find that (4/15)A=(2/15)B .

Sakshi said: (Aug 24, 2012)  
What is the significance of finding ratio here. As B's share is calculated directly further in answer. Please explain.

Brajesh said: (Sep 14, 2012)  
Through ratio share can be divided accordingly as A:B=3:2 B' SHARE will be 2/5*1210=484.

Chaya said: (Oct 5, 2012)  
I have one more solution:

Here a+b=1210

All given possible values of b in options are :

1. 460 2. 484
3. 550 4. 664

By b's we can find a's values

1. (1210-460)=750 2. (1210-484)=726
3. (1210-550)=660 4. (1210-664)=546

Condition given: 4/15a = 2/5b then
For b's values we will check condition

1. (4/15)*750 = (2/5)*460
200 = 184 (false)

2. (4/15)*726 = (2/5)*484
193.6 = 193.6 (true)

3. (4/15)*660 = (2/5)*550
176 = 220 (false)

4. (4/15)*546 = (2/5)*664
145.6 = 265.6 (false)

So b=484 is correct.

Ramana said: (Nov 26, 2012)  
A:B=3:2
SO, B only share equal to 2/5*1210=2*242=484.

Nitesh Malakar said: (Jan 16, 2013)  
A+B=1210.

A:B=3:2.
A/B=3/2.
2A=3B.

Therefore, A=(3B)/2.

And substituting, (3B/2)+B=1210.

And hence, 5B=2420 => B=484 Rs.

Ranjeet Kaur said: (Jul 5, 2013)  
Let A have x Rs.
Let B have y Rs.
Acc. to Question,

x + y = 1210-----------------1.

Now as per condition,
4/15 x = 2/5 y.

therefore, x = 2/5 y X 15/4.

x = 3/2 y.

Put this value in equation 1.

3/2 y + y =1210.
3y + 2y = 2420.
5y = 2420.
y = 484.

Therefore B has amount of Rs. 484/-.

Imu said: (Sep 9, 2013)  
Dude why to are going in long way.

The shortcut:

He ask about B share,

Directly 1210 x 2/5 = 484.

Vinay said: (Sep 19, 2013)  
4/15*A = 2/5*B.

A/B = 3/2.

Ratio scale A B Total amount

3 2 5

*242 *242 *242

26 484 1210

So B share is 484.

Keddy said: (Dec 24, 2013)  
Its interesting but is there any logic or short trick 2 solve this question in few second?

Mayank Mathur said: (Jan 18, 2014)  
If there is simply multiplication then what is the need of 3:2.

Why we solved it?

Richael said: (Mar 16, 2014)  
How do you get the 1210? I'm confusing.

Atul1487 said: (Apr 26, 2014)  
A+B = 1210 ---- 1.

Given,

4/15*A = 2/5*B.

So A = 3/2*B ----- 2.

From 1 & 2.

3/2B+B = 1210.

5B = 1210*2.
B = 1210*2/5.

B = 484 ------ Answer.

Divya said: (Sep 19, 2014)  
A=4/5, B=2/5.

Total amount=1210.
Therefore the total amount of B=1210*2/5=484.

So, Ans is 484.

Aditya said: (Oct 21, 2014)  
A three digit number has the ratio of its units digit is the number itself as 1 : 27.

Find its tens digit? Please solve this.

Kalakar said: (Oct 31, 2014)  
Thanks @Chaya for your shortcut.

Goutham said: (Nov 12, 2014)  
Please explain me clearly a4/15 and b2/5 how will 3/2 came please I'm not getting this.

Govind said: (Nov 19, 2014)  
No need to make complex its easy.

Because of question ask about result of b.

A = 1210, B = 1210;

2/5*B = 2/5*1210.

= 484.

Chanti said: (Nov 29, 2014)  
Why to find ratio of A and B?

Kailashthakur said: (Dec 7, 2014)  
A:B = 2/5 : 4/15 = 3:2.

B = 1210/(3+2)*2 = 484.

Subhan said: (Dec 24, 2014)  
@GOVIND.

Please find the share of A in the same way.

Supriyo said: (Jan 3, 2015)  
(a+b) = 1210 given.

a4/15 = b2/5 given.

Then, a/b = (2/15)*(15/4).

=> a:b = 3:2.

Now, 3x+2x = 1210.

Then, x = 242.

So, b will be 2*242 = 484(ans).

&, a will be 3*242 = 726.

Varsha said: (Feb 28, 2015)  
I m not getting anything.

Please can anyone explain me that how can we calculate ratio of A and B?

Rap said: (Mar 4, 2015)  
I don't get it. How do you find B's amount directly?

Jen said: (Mar 10, 2015)  
From where did you get the 3/2?

Vijaysingh said: (Mar 10, 2015)  
Simply we can solve by simultaneous equation.

A+B = 1210.......equation 1.

(4/15)A = (2/5)B.......equation 2.

(4/15)1210-B = 2/5 B.

B = 484.

That's it.

Karthik said: (Mar 17, 2015)  
Can some one explain how to derive A:B = 3:2?

Omkar said: (Apr 24, 2015)  
Why A:B ratio we find?

Shriya said: (Jun 9, 2015)  
Can you please explain me this?

Masaujer Lara said: (Jul 6, 2015)  
Hi can you help me this topic please?

Swapnil said: (Jul 14, 2015)  
But I still don't understand why we first calculate the ratio, final answer depend on the formula.

S.Gowthami said: (Jul 22, 2015)  
Let's us take both the difference (4/15-2/5=2/10).

The difference is 2/10 their total amount of them is 1210.

Take difference and multiply with the original amount.

= 2/10*1210=484.

This is my point of view if there is any mistake please don't mind.

Manju said: (Jul 29, 2015)  
B's share is 2/5*1210=484.

Anusha said: (Aug 29, 2015)  
How you get the 3:2 ratio?

Justine said: (Sep 4, 2015)  
Where did you find 1210?

Parvathi said: (Sep 28, 2015)  
Hi please tell me how you got ratio 4/15 for A and 2/15 for B they haven't mention anything in the question.

Pandit Ishu said: (Jan 3, 2016)  
Please tell how it work?

Lemlem said: (Jan 6, 2016)  
Please tell me how can find the ratio 4:15 for A and 2:15 for B?

Rajesh said: (Jan 24, 2016)  
My questions are:

1. If 2\5*1210 = 484 works for B.

Then A should be 4/15*1210. But it doesn't give the answer.

2. Why we are calculating A:B?

Azly said: (Jan 27, 2016)  
Can find answer using simultaneous equations too?

Ayush P Maheshwari said: (Mar 1, 2016)  
We have to just divide 2/5 from 1210. To prove that they both are not equal that's why they take ratio.

Sateesh said: (May 12, 2016)  
I'm not getting this, Please anyone help me to solve this problem.

Athira.Dams said: (May 21, 2016)  
A + B = 1210.
B = 1210 - A.

(4/15)A = (2/5)B = (6/15)B.
B = (4/15) * (15/6)A.
= (2/3)A.
A + (2/3)A = 1210.

(3A/3) + (2A/3) = 1210.
5A/3 = 1210.

A =1210 * (3/5).
= 726.

B = 1210 - 726.
=484.

Sandeep said: (May 27, 2016)  
Here,

A + B = 12110.
A 4/15 = B 2/5.
It can be written as per the rules of the ratio.

4/15 = 4 :15 and 2/5 = 2:5.

As per rules of ratio:
If a : b = c : d then a : b :: c : d in short it equal to ad : bc.

So, here 4 : 15 = 2 : 5.

Then,
4:15 :: 2:5 = 4 * 5 : 15 * 2 = 20 : 30.

2 : 3 So, the ratio between a and b is 2 : 3.

=> a + b = 1210
So, a : b =2 : 3.
b =1210 * 3/5.
=726.

Am I correct? Is there any mistake please tell me.

Pravallika said: (Jun 13, 2016)  
@Sandeep

The ratio a : b is different from that of ad : bc.
2 : 3 is the answer for ad : bc but not a : b.

A(4/15) = B(2/5).

As per the rules of the ratio, it is written as;
4/15 = 4 :15 and 2/5 = 2:5.

Because they didn't mention the ratios of the amounts they had. They mentioned about the relation between those ratios.

A(4/15) = B(2/5) then A : B is 3 : 2.

And amount of B is 3/(3 + 2) * 1210 = 484.

Shubham said: (Jun 25, 2016)  
@Sridhar.

Your explanation is helpful. Thank you.

Raghuveer said: (Jun 29, 2016)  
The simple way is;

2/5 * 15/4 = 3/2.
A : B = 3 : 2.

5 -----> 1210.
then 2 --------> 1210 * 2/5 = 484.

Raghuveer said: (Jun 29, 2016)  
a/b = 3/2, a:b = 3:2

5 ----> 1210
2 ----> 484

Shubham said: (Jul 19, 2016)  
Why we can not find the value of b directly?

b = (1210 X 2/5) = 484.

Shambhu said: (Aug 28, 2016)  
Why 2/5 is taken?

Harrish Crazie said: (Sep 2, 2016)  
Why 2/5 is used?

Jivraj Singh Rathore said: (Sep 2, 2016)  
(4/15)A = (2/5)B.

A/B = 3/2.
1210/5 = 242,
242 * 2 = 484.

Bishal Timilsina said: (Sep 16, 2016)  
Let's B's amount be Rs (1210 - A).

According to questions;

4/15 of A = 2/5 of B [ B = Rs. (1210-A) ]
4A/15 =2/5 (1210 - A),
20A = 30 (1210 - A),
A = 3/2 (1210 - A),
2A = 3630 - 3A,
5A = 3630,
A = 3630/5,
So, A = 726.

Now, B's amount = 1210 - A.
= 1210 - 726.
= Rs. 484 =>answer.

Akshu said: (Nov 22, 2016)  
We can do this question in this way also.

A = 4/15, B = 2/5.

Both are equal to each other we can say that,
A = B -> (2/5 : 4/15) * 15.
A : B -> 6 : 4.

B -> 4/10 * 1210.
B -> 484 Ans.

Lester Gascon* said: (Nov 27, 2016)  
Thank you. I learned a lot here and its helped me to do the problems easily.

Sham Khungla said: (Dec 5, 2016)  
Calculate the ratio of milk and water in the new mixture if the quantity of = 35ltr, ratio of milk = 4 : 1, water added = 7ltr, then ratio of resulting mixture = ?

Swetha said: (Dec 9, 2016)  
I understand Cleary now. Thanks @Sridhar and @Buhvi.

Sikander said: (Jan 7, 2017)  
It is simple that the share of b is 2/5, it is understood that the share of a is 3/5. So apply the % and find out.

Tarun Dwivedi said: (Jan 22, 2017)  
Thanks for your answer @Sridhar.

Anand said: (Jan 28, 2017)  
Thanks for your answer @Bhuvi.

Sourav said: (Feb 4, 2017)  
The ratio of spirit and water in a mixture is 1:3. If the volume of the solution is increased by 25% by adding spirit only. What is the resultant ratio of spirit and water?

Please answer it.

Hari said: (Feb 19, 2017)  
Spirit part in a mixture is 1/4.
Water part in a mixture s 3/4.
The spirit volume is added in percentage is 25% which comes 1 for 4.
Total parts are 5, spirit part is 2 and water part is 3. The resultant ratio is 2:3.

Santhosh said: (Mar 3, 2017)  
Thanks @Imu.

Mandy said: (Mar 8, 2017)  
Thanks for the given explanation, it's helpful.

Abhilasha said: (Mar 15, 2017)  
Thank you all, now I understand how to solve ratio problem.

Doris said: (Mar 30, 2017)  
Thanks @Imu.

You made it more simple. Thanks.

Mr.Issue said: (Apr 3, 2017)  
The problem how 2/5*(1210)comes?
a+b = 1210 and now we got ratio a/b = 3/2,
So,add +1 both side,
a/b+1=3/2+1
a+b/b = 5/2.
Now b=2/5(a+b) = 2/5(1210) = 484.

Aimie said: (Apr 9, 2017)  
How 3/2 came?

Please explain it in detail.

Kabi said: (Apr 14, 2017)  
(4/15)A = (2/5)B.

Solve it and you will get A:B = 3:2.

Rose said: (May 13, 2017)  
This can be done cery easily by simple algebra. tTher are two conditions,
First, A+B =1210.

Second,
A* 4/15 = B* 2/5.
A= B* 2/5 *15/4
A = 3/2 B. Put this value of A in first condition,
We get,
3/2 * B + B =1210.
5/2 *B =1210.
B =1210 * 2/5.
B =484.

Gayathri said: (Jul 8, 2017)  
To find B=?.

B = 1210*2/5.
B = 2420/5.
B = 484,

Asif said: (Aug 2, 2017)  
Why we are finding the ratio?

Ris said: (Sep 3, 2017)  
Thanks for that helpful solution @Prkz.

Meena said: (Sep 26, 2017)  
If a:b=2:3 b:c=4:5,c:d=6:7 then a:b:c:d is?

Anyone help me to solve this problem?

Shannu said: (Feb 12, 2018)  
Can you give solution for this problem?

A vessel of 125 lts. Capacity is full of pure milk on the first day 2/5 of the milk is drawn and filled with water, on the second day 2/5 of the mixture is drawn and filled with water, and again the same thing is done on the third day. Find the quantity of milk at the end?

Pardu said: (Feb 17, 2018)  
How to find the value of A @Gayathri.

Aftab said: (May 26, 2018)  
Thanks for explaining the answer.

Rez said: (Aug 12, 2018)  
Thanks all for explaining the answer.

Selvanthan.S said: (Aug 27, 2018)  
Thank you for explaining the answer.

Trimurthulu said: (Dec 15, 2018)  
A+B Total value is R.s 1210.
So Directly we can Calculate B share,
Acc to the question B share 2/5,
Thus 1210 of 2/3,
= 1210 * 2/3,
= 484 RS.

Dnyaneshwar Dk said: (Dec 16, 2018)  
How will you find B's share directly to 1210?

Sivaa said: (Jan 23, 2019)  
A + B = 1210.

Now find the value of B?
4/15 A = 2/5 B.
A = (2/5 * 15/4) B.
==> A = (3/2) B.
ratio is A : B = 3:2 ==> ratio of A is 3 and ratio of B is 2.
A + B = 1210 // this formula Apply the A value,
(3/2) B + B = 1210 // ratio of B is 2 so B is replace 2.
(3)B + 2 = 1210 * 2,
(3)B + 2 = 2420,
5(B) = 2420,
B = 2420/5,
B = 484.

Venkatesan S G said: (Mar 8, 2019)  
Thank you @Sridhar.

Sandhyarani said: (Mar 14, 2019)  
Thanks all for explaining the answer.

Sanjay said: (Apr 20, 2019)  
A+B = 1210.
(4/15)A = (2/5)B.
A = (30/20)B.
A = (3/2)B,
A = 1.5B.

A+B = 1210.
.5B+B = 1210.
2.5B = 1210,
B = 1210/2.5,
B = 484.

P Harish said: (Apr 23, 2019)  
4/15, 2/5.
Lcm of 15 and 5 = 15.
4/15 * 15 = 4.
2/5 * 15 = 6.
Adding 4 + 6 = 10.
1210 รท 10 = 121.
4 * 121 = 484.
6 * 121= 726.
484 + 726 = 1210.

Saro said: (Apr 23, 2019)  
Why to find ratio A and B?

Kalyan Kumar said: (May 9, 2019)  
Thanks for explaining @Chaya.

Akash Kumar said: (May 20, 2019)  
I am not understanding the last step can anyone explain it?

Naomi said: (Jun 14, 2019)  
We can also do it this way;

If 4/15 of A = 2/5 of B then,
1210 * 4/15= 322.6.
Therefore if 322.6 - 0.4 (divide 2/5).
Then x - 0.6 is 483.9 that is 484.

Thiru said: (Aug 5, 2019)  
2/5(1210) = 2420/5 = 484.

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