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 4 of 9.

Rahul said:   7 years ago
Hello Everyone, can anyone please make me understand that.

If Sumit salary is 34000, then which must as the multiple of 3?

That means it must be something like as : 3x=34000.

Shivam Kumar Gupta said:   2 years ago
114x+4000*57=120x+4000*40.

6x = 4000(57-40),
6x = 4000*17,
x = (4000*17)/6,

Now you want to Sumit salary which is 3x in the above question.
3* (4000*17)/6 = 34000=> answer.
(9)

Mohamed Rafiudeen said:   5 years ago
2:3 difference is 1.

40:57 difference is 17.

Cross multiply:
{2:3 * 17} 34:51.
{40:57 * 1}40:57.
Then difference of 2 ratios is 6.
6=57*4000,
6=228000,
228000÷6,
38,000.
(4)

Rahul Gupta said:   1 decade ago
But how to you used the 2 for dividing the 68000.

This solution is out of the box.

Please explain me full solution, also explain how to used you 2 for dividing the 68000.

Athika said:   3 years ago
It is stated in question 'if' the salary is increased but it is not actually increased now at present how at the last point you have added 3x+4000?

Anyone, explain please.

Kingshuk basu said:   7 years ago
R:S = 2x : 3x.
40:57cross {57*2:40*3} = 114:120.
(120-114)=6,
4000:4000cross{40*4000:57*4000} = 228000-160000 = 68000/6,
=11333.33333 * 3 = 34000 + 4000 = 38000.

Rohit said:   7 years ago
The question demands Sumit's real salary. Not the increased one.

It clearly says " If the salary is increased" This means the answer has to be 34000. Isn't it?

Vamsi said:   5 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.

Aparna said:   1 decade ago
Just they have splitted the term

6x=68000
we can also write it as
2*3x=68000
3x=68000/2
therefore,
3x=34000

for the simplication they have done this

Ranjan said:   4 years ago
R/S = 2/3.

(R+4000) / (S+4000) = 40/57.
Putting the value of are = (2/3) S,
And get value s = 34000.

What is wrong in this? Please explain it.
(2)


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