Question

Salaries ratio 2:3. After adding Rs.4000 each \(\rightarrow\) ratio 40:57. Find Jimmy's salary.

• A. Rs.34000
• B. Rs.46800
• C. Rs.36700
• D. Rs.50000

Hint:

For ratio problems, assume the quantities as multiples of a common variable (like \(2x\) and \(3x\)). Then form an equation using the changed ratio and solve systematically.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
The salaries of two persons are in the ratio \(2:3\). After adding Rs.4000 to each salary, the ratio becomes \(40:57\). We need to find Jimmy's salary.

Step 2: Key Formula or Approach:
If two quantities are in the ratio \(2:3\), they can be written as: \[ 2x \text{ and } 3x \] After adding Rs.4000 to each: \[ \frac{2x+4000}{3x+4000}=\frac{40}{57} \]

Step 3: Detailed Explanation:
Let the original salaries be: \[ 2x \text{ and } 3x \] According to the question: \[ \frac{2x+4000}{3x+4000}=\frac{40}{57} \] Cross multiply: \[ 57(2x+4000)=40(3x+4000) \] Expand both sides: \[ 114x+228000=120x+160000 \] Bring like terms together: \[ 228000-160000=120x-114x \] \[ 68000=6x \] \[ x=\frac{68000}{6}=\frac{34000}{3} \] Now calculate the salaries: \[ 2x=\frac{68000}{3}\approx 22666.67 \] \[ 3x=34000 \] Thus, the larger salary (Jimmy's salary) is: \[ \text{Rs. }34000 \]

Step 4: Final Answer:
Jimmy's original salary is: \[ \boxed{\text{Rs. }34000} \]