Raju's monthly salary is 20 percent more than Anuj's monthly salary. Ravi's monthly salary is ₹ 1500 more than Anuj's salary. The sum of Raju's, Ravi's and Anuj's yearly salaries is ₹ 325200. What is the sum of the monthly salaries of Raju and Anuj together?

### Concept & Strategy This problem combines percentages with linear equations. The absolute critical step is maintaining consistent time units. You are given *monthly* salary relationships but a *yearly* total sum. You must immediately convert the yearly sum to a monthly sum before setting up your algebraic equation to avoid massive numbers and errors. ### Step-by-Step Solution * **Given:** Raju's monthly = Anuj's monthly + $20\%$ (or $1.2 \times$ Anuj). Ravi's monthly = Anuj's monthly + ₹ $1500$. Total Yearly Salary (Raju + Ravi + Anuj) = ₹ $325200$. * **Calculation / Deduction:** First, convert the total yearly salary to a total monthly salary: Total Monthly Salary = $\frac{325200}{12} = 27100$. Let Anuj's monthly salary be $x$. Raju's monthly salary = $1.2x$. Ravi's monthly salary = $x + 1500$. Set up the sum equation: $$x + 1.2x + (x + 1500) = 27100$$ $$3.2x + 1500 = 27100$$ $$3.2x = 25600$$ $$x = \frac{25600}{3.2} = \frac{256000}{32} = 8000$$ So, Anuj's monthly salary is ₹ $8000$. We need the sum of Raju and Anuj's monthly salaries. Raju's salary = $1.2 \times 8000 = 9600$. Sum = Raju + Anuj = $9600 + 8000 = 17600$. ### Exam Strategy & Shortcut Instead of finding individual salaries, look at what the question asks for: "Sum of Raju and Anuj". That sum is $x + 1.2x = 2.2x$. From the main equation $3.2x = 25600$, we know $x = 8000$. Immediately multiply by $2.2$: $8000 \times 2.2 = 17600$. This shaves off a few seconds by avoiding calculating Raju's exact salary independently. ### Common Pitfall The most frequent error is failing to divide the yearly sum (₹ 325200) by 12. Students equate the monthly expressions to the yearly total ($3.2x + 1500 = 325200$), resulting in inflated, incorrect answers that might mistakenly point toward a "None of these" trap. Always match your units! ### Final Answer **Therefore, the correct answer is ₹ 17600.**