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:
84 comments Page 5 of 9.
Roshan said:
8 years ago
I took it as 2/5(x)+4000 and 3/5(x)+4000.
Am I right?
Am I right?
Vinji said:
7 years ago
Thanks for explaining @S.Narayana.
Shubham said:
7 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.
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:
7 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.
2:3
40:57 -> difference = 17.
Cross multiply it,
(17/6)*4000*3=34000.
Total=34000+4000=38000.
114:120 ->difference = 6.
Athika said:
4 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.
Anyone, explain please.
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.
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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