Ganeshi's monthly income is twice Jassi's monthly income. Two-third of Jassi's monthly income is equal to Sukhvinder's monthly income. If Sukhvinder's annual income is ₹ 2.34 lakhs, what is Ganeshi's monthly income?

### Concept & Strategy The problem links three distinct entities through consecutive multipliers. The critical operational task is maintaining consistency between annual units and monthly units before performing the substitutions. ### Step-by-Step Solution * **Given:** * Ganeshi's monthly income ($G$) = $2 \times$ Jassi's monthly income ($J$) * Sukhvinder's monthly income ($S$) = $\frac{2}{3} \times$ Jassi's monthly income ($J$) * Sukhvinder's annual income = ₹ 2,34,000 * **Calculation:** * Step 1: Find Sukhvinder's monthly income ($S$): $$ S = \frac{2,34,000}{12} = \text{₹ } 19,500 $$ * Step 2: Use the relation between $S$ and $J$ to find $J$: $$ 19,500 = \frac{2}{3} \times J \implies J = 19,500 \times \frac{3}{2} = 9,750 \times 3 = \text{₹ } 29,250 $$ * Step 3: Compute Ganeshi's monthly income ($G$): $$ G = 2 \times J = 2 \times 29,250 = \text{₹ } 58,500 $$ ### Exam Strategy & Shortcut Combine the variable equations down into a direct structural ratio layout: $$ \frac{G}{S} = \frac{2J}{\frac{2}{3}J} = 2 \times \frac{3}{2} = 3 $$ This directly tells us that Ganeshi's monthly income is exactly 3 times Sukhvinder's monthly income. * Sukhvinder's monthly income = $\frac{2,34,000}{12} = 19,500$. * Ganeshi's monthly income = $19,500 \times 3 = 58,500$. ### Common Pitfall A common mistake is using the annual figure (2.34 lakhs) directly without converting it to a monthly scale first, leading to massive scale mismatches in the options. ### Final Answer **Therefore, the correct answer is ₹ 58500.**