# 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

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.

 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.

 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 ÷ 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.