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:
9 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.
Imtiyaz said:
9 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?
Rahul said:
8 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.
If Sumit salary is 34000, then which must as the multiple of 3?
That means it must be something like as : 3x=34000.
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.
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).
Vijay said:
8 years ago
How 6x=68000 to 3x=34000?
Please explain.
Please explain.
Navya said:
8 years ago
The ratio should be 38:55 not 40 : 57.
Gopal said:
8 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?
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