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?
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:
83 comments Page 6 of 9.
Shobha said:
1 decade ago
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?
Example salary is increased 20 % each. How should we calculate.
Any one can guide me?
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
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.
Explain please.
Gumps said:
1 decade ago
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
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
Ram Darash Patel said:
1 decade ago
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.
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.
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.
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.
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.
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