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:
84 comments Page 5 of 9.

Navya said:   7 years ago
The ratio should be 38:55 not 40 : 57.

Gopal said:   7 years ago
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?

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.

Roshan said:   7 years ago
I took it as 2/5(x)+4000 and 3/5(x)+4000.

Am I right?

Vinji said:   7 years ago
Thanks for explaining @S.Narayana.

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?


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