Aptitude - Ratio and Proportion - Discussion

Discussion Forum : 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?
Rs. 17,000
Rs. 20,000
Rs. 25,500
Rs. 38,000
Answer: Option
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.

Discussion:
82 comments Page 6 of 9.

Shobha said:   1 decade ago
In this question salary is mentioned as 4000, if they just mentioned salary increased 20%, how should we calculate?

Utkarsh said:   1 decade ago
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

Puneet said:   1 decade ago
Buddy how the salary of summit becomes 34,000 and why did you find difference pf 40 and 57?

Explain please.

Ahmed said:   1 decade ago
What about ravi's salary?

Dhananjay said:   1 decade ago
Is there any shortcut method to solve this problem?

Sowmi said:   1 decade ago
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.

Kauthik said:   1 decade ago
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.

Jancy said:   1 decade ago
Thanks good explanation elumalai

Manish tiwari said:   1 decade ago
Thanks dear good explanation by Elumalai.

Prapu said:   1 decade ago
I did't understand clearly please explain this solution in an understandable manner.


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