Aptitude - Ratio and Proportion - Discussion

Discussion :: Ratio and Proportion - General Questions (Q.No.7)

7. 

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

[A]. Rs. 17,000
[B]. Rs. 20,000
[C]. Rs. 25,500
[D]. Rs. 38,000

Answer: Option D

Explanation:

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.

Then, 2x + 4000 = 40
3x + 4000 57

57(2x + 4000) = 40(3x + 4000)

6x = 68,000

3x = 34,000

Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.


Shanti said: (Dec 22, 2010)  
How 6x=68000 and 3x=34000? please explain cleraly.

Aparna said: (Dec 27, 2010)  
Just they have splitted the term

6x=68000
we can also write it as
2*3x=68000
3x=68000/2
therefore,
3x=34000

for the simplication they have done this

Emani Karthik Reddy said: (Jul 23, 2011)  
Let the salaries of ravi&sumith 2x,3x
each salary increased by 4000.
i.e ((2x+4000)/(3x+4000))->1
new ratio is 40:57->2
from 1 &2 we get
6x=68000
3x=34000
salary of sumith = 34000+4000=38000

Aman said: (Sep 16, 2011)  
Any other method which solve this question in mind?

Prapu said: (Sep 20, 2011)  
I did't understand clearly please explain this solution in an understandable manner.

Elumalai said: (Nov 15, 2011)  
Hai guys listen here...

the 2:3 ratio of Ravi & Sumith salary
2x:3x =>2x/3x
then
Salary increased by each 4000
2x+4000 ---------(1)
3x+4000----------(2)
let we write 2x+4000/3x+4000 (its become new ratio)
2x+4000/3x/4000=40/57 ratio
now solve this
57(2x+4000)=40(3x+4000)
114x+228000=120x+160000
114x-120x=228000-160000
6x=68000
now divided by 2
=> 3x=34000.

now we have 3x value is 34000
let subsitute equation no(2)
=>3x+4000
=>34000+4000
Ans =38000

ok bye...

Manish Tiwari said: (Dec 15, 2011)  
Thanks dear good explanation by Elumalai.

Jancy said: (Jan 10, 2012)  
Thanks good explanation elumalai

Kauthik said: (Aug 1, 2012)  
From the beginning itself, the increased salary of both of them were added. i.e., 2x+4000/3x+4000.

My question is after finding the value of x, why they add again by 4000. Can you please clear it.

Sowmi said: (Mar 3, 2013)  
Sumit ratio is 3x.

His salary increased by 4000. So current salary is 3x+4000->equation 1.

We found out 3x=34000.

So substitute 3x=34000 in equation 1. So 34000+4000=38000.

Ram Darash Patel said: (Mar 19, 2013)  
Let the ratio of ravi & sumith salary Rs.2x And Rs.3x.

So it's tends for 2x/3x.

Salary increased by each 4000.

2x+4000 ------(1).
3x+4000 ------(2).

Let we write,
2x+4000/3x+4000= 40/57(this is new ratio given in Q).

57(2x + 4000) = 40(3x + 4000).
6x = 68,000.
3x = 34,000.

So, Sumit current Salary =3x+ 4000.
=34,000+4000.
=38,000.

Ahmed said: (May 31, 2013)  
What about ravi's salary?

Venkat Chowdary Maguluri said: (Aug 2, 2013)  
(57*2 - 40*3 = 6).

Original Ratio: 2:3.

New ratio: 40:57.

(40 - 57 = 17).

Previous salary of summit = 4000*3*17/6 = 34,000.

After increasing 4000 summit salary = 34,000+4000 = 38,000.

I hope it take less time to calculation.

Puneet said: (Sep 16, 2013)  
Buddy how the salary of summit becomes 34,000 and why did you find difference pf 40 and 57?

Explain please.

Utkarsh said: (Sep 20, 2013)  
What if we consider the two variable equations for this question.

Let the salary of Ravi of be Rs x and Sumit br Rs y.

Now, acc to question... two salary's are in the ratio 2:3.

Therefore, x/y=2/3.

=> 3x = 2y...........(1).

Acc to question if we add Rs 4000 to each salary.

Therefore, x+4000/y+4000 = 40/57.

=> 57x + 22800 = 40y + 16000.

=> 57x-40y = 160000-228000.........(2).

Acc to eq1..we multiply it by 19, it becomes,

57x = 38y.......(3).

Putting the value of (3) in (2)

=> 38y-40y = -68000.

=> -2y = -68000.

=> y = 34000.

So the salary of Sumit is Rs 34000

Shobha said: (Sep 25, 2013)  
I have one doubt related to this type of question, here they mentioned the salary amount, if salary amount is mentioned in percentage how should we calculate.

Example salary is increased 20 % each. How should we calculate.

Any one can guide me?

Shobha said: (Sep 26, 2013)  
In this question salary is mentioned as 4000, if they just mentioned salary increased 20%, how should we calculate?

Christiano said: (Feb 2, 2014)  
The question is not what is sumit's new salary?
It is what is sumit's salary?

So, they didn't mention whether it is past or present.
So the answer could be 34000 or 38000.

Am I correct?
If not explain to me.

Gomes said: (Mar 29, 2014)  
@Utkarsh! 19 Came from where and how?

Keerthi said: (May 27, 2014)  
My question is why can't we find the value of x, and then multiply by 3.

Prakash said: (Aug 30, 2014)  
Let original salary ravi and sumit be 2x and 3x.

If salary is increased by 4000.

So we can write 2x+4000 --- 1.

3x+4000 --- 2.

2x+4000/3x+4000 = 40/57.

Then 57(2x+4000) = 40(3x+4000).

57*2x+57*4000 = 40*3x + 40*4000.

114x - 120x = 228000 - 160000.

6x = 68000.
3x = 34000.

Sumits salary = 34000 + 4000 = 38000.

Dhananjay said: (Sep 7, 2014)  
Is there any shortcut method to solve this problem?

Gumps said: (Oct 20, 2014)  
This is simple.

New increment in salary led to the new ratio.

You cannot add ratio (2,3) to value (4000) hence effect the change in ratio by multiplying by x factor.

Thus, 2x+4000... etc

Shikha said: (Dec 13, 2014)  
Can anyone explain me how this 40/57 came?

Divya said: (Dec 24, 2014)  
@Shikha.

40/57 is the new ratio. Read the question twice, you will get it.

Divya said: (Dec 24, 2014)  
@Shikha.

Its just the new ratio. Read the question again and look at the 1st explanation til the 3rd step.

After that just divide 68000 by 6. You will get 33999 and it rounded of to 34000.

34000+4000 = 38000 which means 34000 was his old salary and aft increment of 4000 he gets 38000.

Suganya said: (Jan 5, 2015)  
Is there any shortcuts to solve this problem easily?

Anjali said: (Jan 10, 2015)  
Hey, why can't we take Ravi's and Sumit's original salary as 1x and 2x respectively? Why only 2x and 3x?

Om Balakumar said: (Mar 16, 2015)  
Tell me how to find Ravi's salary instead Sumit's salary? Explain please if you get the answer correctly?

Rahul Gupta said: (Jun 17, 2015)  
But how to you used the 2 for dividing the 68000.

This solution is out of the box.

Please explain me full solution, also explain how to used you 2 for dividing the 68000.

Evil One said: (Jun 29, 2015)  
You all have explained to get the salary of Summit's salary but, I need to know what is Ravi's? Can any one explain?

Shalini said: (Jul 14, 2015)  
Question is what is salary of sumit not the new salary of sumit.

According to me right answer is 34000.

Han said: (Aug 4, 2015)  
@Shalini I agree.

The question "What is Sumit's salary?" should be more clear.

-Is it Sumit's "present" salary?

-Or is it Sumit's "new" salary?

At first, I thought the question was asking for Sumit's "current" salary. The answer should be Rs. 34, 000.

But the given answer is Rs. 38, 000. That is Sumit's "new" salary (34, 000+4, 000) ("If" he got the raise) not Sumit's "present" salary as written in the explanation.

Kumari said: (Oct 12, 2015)  
Why every one is taking this new ratio as 40/57 there may be a multiple for this i.e 40y/57y, here y is the multiple number other then x, can any one explain me about this, while doing cross multiplication it is important I think.

Galaxy Eyes said: (Nov 3, 2015)  
Please explain where did 68000 come from?

Ankit said: (Dec 12, 2015)  
Please explain me very short answer.

Rasimraja Munshi said: (Jun 13, 2016)  
Hello friends,

Already this sum answer is given,
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, 2x + 4000 = 40.
3x + 4000 = 57,
Till here you public know from where this come,
After that 6x = 68000, this is little bit question to us. From where this we got.

Here is the answer.

Across multiple,
57 (2x + 4000) =40 (3x + 4000).
2 * 3x = 6x, 57 - 40 = 17, 4000 is common.
6x = 17 * 4000.
6x = 68000. Here we solve sum doubt.

Going forward, we have to find Sumit salary.
6x = 68000 divide two as per the given ratio.
3x = 34000.

So here we got the value of 3x = 34000.

Sumit salary is 3x + 4000.
Therefore, 3x = 34000 + 4000.
Answer is 38000 Rs.

Tluanga Chhangte said: (Dec 1, 2016)  
Please tell me. How 114x -120x = 228000 - 160000 becomes 6x = 68000 instead of -6x = 68000?

I think, it should be 114x - 120x = -6x.

Danish Afzaal said: (Dec 7, 2016)  
The Salaries of Yasmeen and Adnan are in the ratio 1 : 2. If the salary of each is increased by Rs. 3000, the new ratio becomes 40 : 57. What is Adnan's present salary? Please solve this.

Priyanka said: (Mar 3, 2017)  
What is the solution for finding the Ravi's salary?

Arpan said: (Mar 15, 2017)  
Here is the best possible way I realised how they went from 6x to 3x.

If we follow the general standard:
Let the ratios be 2x and 3x.
Now we know that both get Rs. 4000, so it should look like this:

Ravi : (2x + 4,000)
Sami: (3x + 4,000)

Now they gave us the new ratio of what it would be after they got their added amount: 40 : 57.

By looking like this: (2x + 4,000) = 40 / (3x + 4,000) = 57 (Sorry for poor demonstration here)

By cross multiplying the values, it should look like this: 57(2x + 4,000) = 40(3x + 4,000)
We will then expand it out: 114x + 228,000 = 120x + 160,000
Then by simplifying it through this stage:
228,000 - 160,000 = 120x - 114x

The answer should look like this: 68,000 = 6x
It can also be written as: 6x = 68,000, it's still the same thing, just that 6x is on the other side for personal preference and ease of simplifying.

Now the problem is this instant go from 6x to 3x, but what is 6x? I don't know. My best possible answer is that it's nobodies amount and that you would rather want to find x, so that you could multiply is by 3 to get Sumit's salary:

Finding x (divide both sides by 6): 6x/6 = 68,000/6
x = 11333.333333333333333333333333333
Now multiply it by 3 -> 11333.333333333333333333333333333 * 3 = 34,000.

This is this only way I could rationally come to understand this jump from 6x to 3x and hopefully it has made sense to you.

Here are some questions I would like to respond to for some of the users:

@Tluanga Chhangte : The reason why you see it like that is because the actual way they should present the subtraction is like this:
(228,000 - 160,000 = 120x - 114x). The reason why x was on the left side on their sheet was possibly due to their minds having "x" on the left side and that is understandable as I do that myself sometimes.

The way this person did it: (114x-120x=228000-160000) would be quite miss guiding as if we refer to the expanded one from earlier:

(114x + 228,000 = 120x + 160,000), if you were to subtract, it would be: (114x - 120x = 160,000 - 228,000) which would still equal 6x = 68,000 as the two negatives would cancel eachother out when dividing to find "x". Hopefully, this has solved your confusion @Chhangte.

@Priyanka The solution to your problem should be pretty simple since we know what x is from my calculation. All that would need to be done is multiply x by 2 to get 2x:
(2 * 11333.333333333333333333333333333 = 22666.666666666666666666666666667 or Rs. 22,666.67 (2 d.p.)
Hopefully, this has solved your problem.


Hope it will helps to understand easily.

Jay said: (Apr 6, 2017)  
Why is 57 on the side of 2 and 40 on the side of 3 is 2 greater than 3 in a 2:3 ratio?

S.Narayana said: (May 24, 2017)  
The shortcut formulae for these kinds of sums = (difference of new ratio/cross difference of both ratios )*increased value * require value.
= (57-40/120-114) * 4000 * 3.
= 17/6 * 12000.
=34000 =34000 + 4000(given in the question).

Partha said: (Jun 22, 2017)  
4000 should not be added because the question is if it increases, not increased. So, answer is 34000.

Gadhvi Meera said: (Jul 20, 2017)  
Thank you @Elumalai.

Nithesh said: (Aug 17, 2017)  
Then What is the Ravi salary?

Haris Sheikh said: (Oct 22, 2017)  
Thank you @Elumalai.

But I have a question that, why did you divide 6x=68000 by 2?
where did 2 come from?

Sakshi said: (Nov 30, 2017)  
x= 680000÷6
3x+4000 we can write 3*680000÷6+4000=38000.

Vishal said: (Feb 24, 2018)  
#Shortest solution#

Ravi's old salary =2p,
Sumit's old salary=3p,
Ravi's new salary =40q,
Sumit's new salary=57q.
40q -2p=4000 ---> 1
57q-3p=4000 ---> 2
On solving [1] &[2] we get q=2000/3,
So sumit's new salary is 57 * (2000/3)=3800.

Imtiyaz said: (Apr 4, 2018)  
@Vishal.

How you get the q value as 2000/3
Can you explain me?

Rohit said: (May 21, 2018)  
The question demands Sumit's real salary. Not the increased one.

It clearly says " If the salary is increased" This means the answer has to be 34000. Isn't it?

Rahul said: (Jun 13, 2018)  
Hello Everyone, can anyone please make me understand that.

If Sumit salary is 34000, then which must as the multiple of 3?

That means it must be something like as : 3x=34000.

Kingshuk Basu said: (Jun 15, 2018)  
R:S = 2x : 3x.
40:57cross {57*2:40*3} = 114:120.
(120-114)=6,
4000:4000cross{40*4000:57*4000} = 228000-160000 = 68000/6,
=11333.33333 * 3 = 34000 + 4000 = 38000.

Chandini said: (Jul 28, 2018)  
@Basu.

Here;
6 represents the difference 4000.
Therefore 4000 ÷ 6*57=38000.

Ruchith Praharsha said: (Sep 12, 2018)  
The original ratio of their salaries are 2:3 and they are increased by 4000 the new ratio is 40:57.

Let their salaries be 2x ,3x.
2x+4000:3x+4000 = 40 :57,
114x +228000 =120x +160000,
6x =68000,
3x =34000 sumits original salary is 34000,
And after increase his salary =34000 + 4000= 38000.

Vijay said: (Dec 11, 2018)  
How 6x=68000 to 3x=34000?

Please explain.

Navya said: (Mar 6, 2019)  
The ratio should be 38:55 not 40 : 57.

Panshul Jamwal said: (Mar 26, 2019)  
How can we know that we are asked for current salary of sumit or old salary. What is the need of adding 4000 at last step? Please explain.

Gopal said: (Mar 26, 2019)  
The ratio of students in class A and class B is 4:5. The ratio of the fee collected per student from class A and class B is 25:16. If the total fee collected is 81 lakh, what is the fee collected from class B. Can anyone solve this?

Roshan said: (Mar 27, 2019)  
I took it as 2/5(x)+4000 and 3/5(x)+4000.

Am I right?

Vinji said: (Jul 20, 2019)  
Thanks for explaining @S.Narayana.

Shubham said: (Dec 24, 2019)  
40 :57
4000
2:3
(3-2)*4000/ (40*3)-(57*2)

= 4000/120-114
= 4000/6.

And Sumit new salary,

= 57x4000/6.
= 19x2000.
= 38000.

Vamsi said: (Mar 9, 2020)  
Yes, it has another method.

2:3
40:57 -> difference = 17.

Cross multiply it,
(17/6)*4000*3=34000.

Total=34000+4000=38000.
114:120 ->difference = 6.

Mohamed Rafiudeen said: (May 26, 2020)  
2:3 difference is 1.

40:57 difference is 17.

Cross multiply:
{2:3 * 17} 34:51.
{40:57 * 1}40:57.
Then difference of 2 ratios is 6.
6=57*4000,
6=228000,
228000รท6,
38,000.

Pranshu said: (Jul 3, 2020)  
57 - 40 = 17.

Then after.

57multiple with 4000 = 228000.
And then 40 multiple with = 160000.
Then substrate 228000-160000 = 68000.
Then 2x multiple 3x so 6x.
6x = 68000.
2x into 3x = 68000.
3x = 34000.
And then 3x+ 4000.
So 34000 + 4000 = 38000.

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