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 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.
If Sumit salary is 34000, then which must as the multiple of 3?
That means it must be something like as : 3x=34000.
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?
It clearly says " If the salary is increased" This means the answer has to be 34000. Isn't it?
Imtiyaz said:
7 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?
VISHAL said:
7 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.
Sakshi said:
8 years ago
x= 680000÷6
3x+4000 we can write 3*680000÷6+4000=38000.
3x+4000 we can write 3*680000÷6+4000=38000.
Haris sheikh said:
8 years ago
Thank you @Elumalai.
But I have a question that, why did you divide 6x=68000 by 2?
where did 2 come from?
But I have a question that, why did you divide 6x=68000 by 2?
where did 2 come from?
Nithesh said:
8 years ago
Then What is the Ravi salary?
Gadhvi meera said:
8 years ago
Thank you @Elumalai.
Partha said:
8 years ago
4000 should not be added because the question is if it increases, not increased. So, answer is 34000.
S.Narayana said:
8 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).
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