Aptitude - Ratio and Proportion - Discussion

Is there any shortcut method to solve this problem?

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.

My question is why can't we find the value of x, and then multiply by 3.

@Utkarsh! 19 Came from where and how?

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.

In this question salary is mentioned as 4000, if they just mentioned salary increased 20%, how should we calculate?

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?

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

Buddy how the salary of summit becomes 34,000 and why did you find difference pf 40 and 57?

Explain please.

(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.