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 8 of 9.
Akib ali said:
3 years ago
The easiest way is;
1st-17 * (2:3) then,
34 : 51.
After increment 40 : 57.
2nd step 40-34=6 & 57-51=6 (we multiply in 1st step for difference of both is equal).
3rd- increment is 4000 means 6part=4000, 1part = 2000/3.
Then after increment his salary = 57part = 57*2000/3= 19*2000= 38000.
And Ravi's salary = 40 * 2000/3 = 26666.66.
1st-17 * (2:3) then,
34 : 51.
After increment 40 : 57.
2nd step 40-34=6 & 57-51=6 (we multiply in 1st step for difference of both is equal).
3rd- increment is 4000 means 6part=4000, 1part = 2000/3.
Then after increment his salary = 57part = 57*2000/3= 19*2000= 38000.
And Ravi's salary = 40 * 2000/3 = 26666.66.
(15)
Varsha said:
3 years ago
How we get 2x+4000/3x+4000 = 47/50?
and why not 2x+4000/3x+4000 = 47x/50x?
and why not 2x+4000/3x+4000 = 47x/50x?
(8)
M Deva Reddy said:
3 years ago
How come 6x=68000?
Can you explain in detail?
Can you explain in detail?
(7)
Nikhil Varma said:
3 years ago
2x + 4000 = 40 ---> (1)
3x + 4000 = 57 ---> (2)
Now, multiply 2x + 4000 by 3 and 3x + 4000 by 2.
6x + 12000 = 120 ---> (3)
6x + 8000 = 114 ---> (4)
Now, subtract (4) from (3)
We get, 4000 = 6.
Now, we are asked to find Sumit's new salary.
We know, the ratio of new salaries of Ravi and Sumit is 40:57
Therefore, 4000 * 57/ 6 = 38000.
Sumit's new salary is RS. 38000.
3x + 4000 = 57 ---> (2)
Now, multiply 2x + 4000 by 3 and 3x + 4000 by 2.
6x + 12000 = 120 ---> (3)
6x + 8000 = 114 ---> (4)
Now, subtract (4) from (3)
We get, 4000 = 6.
Now, we are asked to find Sumit's new salary.
We know, the ratio of new salaries of Ravi and Sumit is 40:57
Therefore, 4000 * 57/ 6 = 38000.
Sumit's new salary is RS. 38000.
(39)
Muhammad Owais said:
3 years ago
Here 6x=68000.
Then
Why don't you do
X=68000/6?
Didn't understand, plz explain the above step in detail.
Then
Why don't you do
X=68000/6?
Didn't understand, plz explain the above step in detail.
(23)
Shivam Kumar Gupta said:
2 years ago
114x+4000*57=120x+4000*40.
6x = 4000(57-40),
6x = 4000*17,
x = (4000*17)/6,
Now you want to Sumit salary which is 3x in the above question.
3* (4000*17)/6 = 34000=> answer.
6x = 4000(57-40),
6x = 4000*17,
x = (4000*17)/6,
Now you want to Sumit salary which is 3x in the above question.
3* (4000*17)/6 = 34000=> answer.
(9)
Jack sparrow said:
2 years ago
The answer of this question should be 34000 not 38000.
(20)
Subhrajit said:
2 years ago
First ratio 2 : 3.
New ratio 40 : 57.
Increased in each 4000 4000.
Cross multiple each other.
40 × 3-57 × 2 = 57 × 4000-40 × 4000.
120 - 114 = 228000 - 160000
6 = 68000
1 = 666.
Sumit new 57×666. = 38000.
New ratio 40 : 57.
Increased in each 4000 4000.
Cross multiple each other.
40 × 3-57 × 2 = 57 × 4000-40 × 4000.
120 - 114 = 228000 - 160000
6 = 68000
1 = 666.
Sumit new 57×666. = 38000.
(23)
Khushiupadhyay said:
2 years ago
2X + 4000/3X + 4000 = 40/57.
114X + 228000 = 120X + 160000.
120X - 114X = 228000 - 160000.
6X = 68000.
So, both are divided by 2.
3X = 34000.
Put the value of 3X.
34000 + 4000 = 38000.
114X + 228000 = 120X + 160000.
120X - 114X = 228000 - 160000.
6X = 68000.
So, both are divided by 2.
3X = 34000.
Put the value of 3X.
34000 + 4000 = 38000.
(32)
Satish Konakalla said:
10 months ago
Old Ratio = 2:3.
New ratio = 40:57.
The change in salary is 4000.
Formula = the difference between (2, 3 = 1) * (40:57) = 40 : 57.
The difference between (40, 57 = 7 ) *(2:3) = 34 : 51.
34 : 51
40 : 57.
6 parts difference (34~40, 51~57) = 4000/-
Then 57 parts(Sumit's salary) = 57*(4000/6).
= 38000.
New ratio = 40:57.
The change in salary is 4000.
Formula = the difference between (2, 3 = 1) * (40:57) = 40 : 57.
The difference between (40, 57 = 7 ) *(2:3) = 34 : 51.
34 : 51
40 : 57.
6 parts difference (34~40, 51~57) = 4000/-
Then 57 parts(Sumit's salary) = 57*(4000/6).
= 38000.
(19)
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