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 4 of 9.
VISHAL said:
8 years ago
#Shortest solution#
Ravi's old salary =2p,
Sumit's old salary=3p,
Ravi's new salary =40q,
Sumit's new salary=57q.
40q -2p=4000 ---> 1
57q-3p=4000 ---> 2
On solving [1] &[2] we get q=2000/3,
So sumit's new salary is 57 * (2000/3)=3800.
Ravi's old salary =2p,
Sumit's old salary=3p,
Ravi's new salary =40q,
Sumit's new salary=57q.
40q -2p=4000 ---> 1
57q-3p=4000 ---> 2
On solving [1] &[2] we get q=2000/3,
So sumit's new salary is 57 * (2000/3)=3800.
S.Narayana said:
9 years ago
The shortcut formulae for these kinds of sums = (difference of new ratio/cross difference of both ratios )*increased value * require value.
= (57-40/120-114) * 4000 * 3.
= 17/6 * 12000.
=34000 =34000 + 4000(given in the question).
= (57-40/120-114) * 4000 * 3.
= 17/6 * 12000.
=34000 =34000 + 4000(given in the question).
Imtiyaz said:
8 years ago
@Vishal.
How you get the q value as 2000/3
Can you explain me?
How you get the q value as 2000/3
Can you explain me?
Rohit said:
8 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?
It clearly says " If the salary is increased" This means the answer has to be 34000. Isn't it?
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.
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.
Kingshuk basu said:
8 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.
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.
Chandini said:
8 years ago
@Basu.
Here;
6 represents the difference 4000.
Therefore 4000 ÷ 6*57=38000.
Here;
6 represents the difference 4000.
Therefore 4000 ÷ 6*57=38000.
Ashwin said:
5 years ago
Thank you @Elumalai.
Vijay said:
8 years ago
How 6x=68000 to 3x=34000?
Please explain.
Please explain.
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