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:
83 comments Page 5 of 9.

Shubham said:   6 years ago
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:   6 years ago
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.

Jay said:   9 years ago
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?

Ashwin said:   5 years ago
Thank you @Elumalai.

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

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

Prakash said:   1 decade ago
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.

Keerthi said:   1 decade ago
My question is why can't we find the value of x, and then multiply by 3.

Gomes said:   1 decade ago
@Utkarsh! 19 Came from where and how?

Christiano said:   1 decade ago
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.


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