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:
82 comments Page 3 of 9.
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.
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.
Dhananjay said:
1 decade ago
Is there any shortcut method to solve this problem?
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
Shikha said:
1 decade ago
Can anyone explain me how this 40/57 came?
Divya said:
1 decade ago
@Shikha.
40/57 is the new ratio. Read the question twice, you will get it.
40/57 is the new ratio. Read the question twice, you will get it.
Divya said:
1 decade ago
@Shikha.
Its just the new ratio. Read the question again and look at the 1st explanation til the 3rd step.
After that just divide 68000 by 6. You will get 33999 and it rounded of to 34000.
34000+4000 = 38000 which means 34000 was his old salary and aft increment of 4000 he gets 38000.
Its just the new ratio. Read the question again and look at the 1st explanation til the 3rd step.
After that just divide 68000 by 6. You will get 33999 and it rounded of to 34000.
34000+4000 = 38000 which means 34000 was his old salary and aft increment of 4000 he gets 38000.
Suganya said:
1 decade ago
Is there any shortcuts to solve this problem easily?
Anjali said:
1 decade ago
Hey, why can't we take Ravi's and Sumit's original salary as 1x and 2x respectively? Why only 2x and 3x?
Om Balakumar said:
1 decade ago
Tell me how to find Ravi's salary instead Sumit's salary? Explain please if you get the answer correctly?
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.
This solution is out of the box.
Please explain me full solution, also explain how to used you 2 for dividing the 68000.
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