One year ago, Laxman’s and Gopal’s salaries were in the ratio 3 : 4. Their individual salary growth ratios (last year : this year) are 4 : 5 for Laxman and 2 : 3 for Gopal. If their current total salary is Rs. 4,160, what is Laxman’s current salary?

Introduction / Context:
When salaries grow by specified ratios, treat those as multiplicative factors on last year’s amounts. Start from a base ratio for last year and apply growth factors to obtain current figures, then use the current total to solve.

Given Data / Assumptions:

• Last year L : G = 3 : 4 ⇒ L₀ = 3t, G₀ = 4t
• Growth: L current = (5/4)L₀, G current = (3/2)G₀
• Current total = 4160

Concept / Approach:
Compute current salaries in terms of t and set their sum to 4160. Solve for t, then find Laxman’s current salary.

Step-by-Step Solution:
L_now = (5/4)*3t = 15t/4G_now = (3/2)*4t = 6tTotal = 15t/4 + 6t = (15t + 24t)/4 = 39t/4 = 4160t = 4160*4/39 = 16640/39Laxman now = 15t/4 = 15*(16640/39)/4 = 20800/13 = Rs. 1600

Verification / Alternative check:
Gopal now = 6t = 6*(16640/39) = 99840/39 = Rs. 2560; total 1600 + 2560 = 4160 as given.

Why Other Options Are Wrong:
1040, 3120, 2080, and 2560 do not represent Laxman’s current salary under the given growth factors and total.

Common Pitfalls:
Adding growth ratios to last-year salaries instead of multiplying; mixing up whose growth factor is which.

Final Answer:
Rs. 1600