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?
[A].
Rs. 17,000
[B].
Rs. 20,000
[C].
Rs. 25,500
[D].
Rs. 38,000
Answer: Option D
Explanation:
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Let the salaries of ravi&sumith 2x,3x
each salary increased by 4000.
i.e ((2x+4000)/(3x+4000))->1
new ratio is 40:57->2
from 1 &2 we get
6x=68000
3x=34000
salary of sumith = 34000+4000=38000
Aman said:
(Fri, Sep 16, 2011 04:09:34 PM)
Any other method which solve this question in mind?
Prapu said:
(Tue, Sep 20, 2011 10:17:13 PM)
I did't understand clearly please explain this solution in an understandable manner.
Elumalai said:
(Tue, Nov 15, 2011 04:49:40 PM)
Hai guys listen here...
the 2:3 ratio of Ravi & Sumith salary
2x:3x =>2x/3x
then
Salary increased by each 4000
2x+4000 ---------(1)
3x+4000----------(2)
let we write 2x+4000/3x+4000 (its become new ratio)
2x+4000/3x/4000=40/57 ratio
now solve this
57(2x+4000)=40(3x+4000)
114x+228000=120x+160000
114x-120x=228000-160000
6x=68000
now divided by 2
=> 3x=34000.
now we have 3x value is 34000
let subsitute equation no(2)
=>3x+4000
=>34000+4000
Ans =38000
ok bye...
Manish Tiwari said:
(Thu, Dec 15, 2011 10:49:16 AM)
57(2x + 4000) = 40(3x + 4000)