One year ago the ratio between rahul salary and rohit salary is 4:5. The ratio between their individual salary of the last year and current year is 2:3 and 3:5 respectively. If the total current salary of rahul and rohit is 4300. Then find the current salary of rahul.a)1200b)1800c)1600d)2000e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Given information:
- The ratio between Rahul's salary and Rohit's salary one year ago was 4:5.
- The ratio between their individual salaries of the last year and current year is 2:3 and 3:5 respectively.
- The total current salary of Rahul and Rohit is 4300.

To find:
- The current salary of Rahul.

Solution:

1. Let's assume that one year ago, Rahul's salary was 4x and Rohit's salary was 5x.
Hence, the total salary of both of them one year ago was 9x.

2. According to the given information, the ratio between their individual salaries of the last year and current year is 2:3 and 3:5 respectively.
This means that the increase in Rahul's salary is in the ratio of 2:3, and the increase in Rohit's salary is in the ratio of 3:5.
Let's calculate their current salaries using these ratios.

3. Let the current salary of Rahul be Rx and the current salary of Rohit be Ry.
From the given ratios, we can write:
- (Rx - 4x)/(2x) = (Ry - 5x)/(3x) (for the increase in Rahul's salary)
- (Ry - 5x)/(3x) = (4300 - Rx - Ry)/(5x) (for the total current salary)

4. Simplifying these equations, we get:
- 3(Rx - 4x) = 2(Ry - 5x)
=> 3Rx - 12x = 2Ry - 10x
=> 3Rx - 2Ry = 2x
- 5(Ry - 5x) = 3(4300 - Rx - Ry)
=> 5Ry - 25x = 12900 - 3Rx - 3Ry
=> 8Ry + 3Rx = 12900 + 25x

5. We have two equations and two variables (Rx and Ry). Let's solve them simultaneously.
Multiplying the first equation by 8 and adding it to the second equation, we get:
24Rx = 103200 - 16x
=> Rx = 4300 - (2/3)x

6. Substituting the value of Rx in the first equation, we get:
3(4300 - (2/3)x) - 2Ry = 2x
=> 12900 - 2x - 2Ry = 2x
=> Ry = (12900 - 4x)/2
=> Ry = 6450 - 2x

7. Now, we can find the current salary of Rahul by substituting the value of Ry in the second equation:
5(Ry - 5x) = 3(4300 - Rx - Ry)
=> 5(6450 - 2x - 5x) = 3(4300 - (4300 - (2/3)x) - (6450 - 2x))
=> 32000 - 35x = (2/3)x
=> 105x = 96000
=> x

Answer

Answer – B.1800 Explanation : 4x and 5x is the last year salry of rahul and rohit respectively Rahul last year to rahul current year = 2/3 Rohit last year to rohit current year = 3/5 Current of rahul + current of rohit = 4300 (3/2)*4x + (5/3)*5x = 4300.
X = 300.
So rahul current salary = 3/2 * 4* 300 = 1800

Answer

Answer – B.1800 Explanation : 4x and 5x is the last year salry of rahul and rohit respectively Rahul last year to rahul current year = 2/3 Rohit last year to rohit current year = 3/5 Current of rahul + current of rohit = 4300 (3/2)*4x + (5/3)*5x = 4300.
X = 300.
So rahul current salary = 3/2 * 4* 300 = 1800

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