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: Let the new salaries (after adding Rs. 4000 to each) be \( 40k \) and \( 57k \) for some constant \( k \), matching the given ratio 40:57.

Step 2: The original salaries, before the addition, were \( 40k - 4000 \) and \( 57k - 4000 \), and these must be in the ratio 2:3.

Step 3: Setting up \( \frac{40k-4000}{57k-4000} = \frac{2}{3} \) and cross-multiplying: \( 3(40k-4000) = 2(57k-4000) \), giving \( 120k - 12000 = 114k - 8000 \), so \( 6k = 4000 \) and \( k = \frac{2000}{3} \).

Step 4: Jimmy's new salary is \( 57k = 57 \times \frac{2000}{3} = 38000 \), so his original salary before the addition is \( 38000 - 4000 = 34000 \).
\[ \boxed{\text{Rs. } 34000} \]