The cost of 13 kg of sugar is ₹ 195, the cost of 17 kg of rice is ₹ 544 and the cost of 21 kg of wheat is ₹ 336. What is the total cost of 21 kg of sugar, 26 kg of rice and 19 kg of wheat?

### Concept & Formula\n\nThis problem uses the unitary method, where we first find the price per unit (kilogram) for each commodity and then multiply it by the required quantities.\n$$\\text{Unit Price} = \\frac{\\text{Total Cost}}{\\text{Total Quantity}}$$\n\n### Step-by-Step Solution\n\n* **Given:**\n * 13 kg of sugar = ₹ 195\n * 17 kg of rice = ₹ 544\n * 21 kg of wheat = ₹ 336\n\n* **Calculation of Unit Prices:**\n * Cost of 1 kg of sugar = $\\frac{195}{13} = ₹ 15$\n * Cost of 1 kg of rice = $\\frac{544}{17} = ₹ 32$\n * Cost of 1 kg of wheat = $\\frac{336}{21} = ₹ 16$\n\n* **Calculation of New Total Cost:**\n * Cost of 21 kg of sugar = $21 \\times 15 = 315$\n * Cost of 26 kg of rice = $26 \\times 32 = 832$\n * Cost of 19 kg of wheat = $19 \\times 16 = 304$\n \n $$\\text{Total Cost} = 315 + 832 + 304 = 1451$$\n\n### Exam Strategy & Shortcut\n\nUse unit digit analysis after finding the unit rates to save calculation time under pressure:\n* Sugar: $1 \\times 5 \\rightarrow 5$\n* Rice: $6 \\times 2 \\rightarrow 2$\n* Wheat: $9 \\times 6 \\rightarrow 4$\n\nSum of unit digits = $5 + 2 + 4 = 11$, so the last digit must be 1. Looking at the options, only ₹ 1451 ends in 1.\n\n### Common Pitfall\n\nErrors usually arise from simple division mistakes when calculating the individual per-kg rates (e.g., $544 \\div 17$). Practice tables up to 20 to ensure fast and error-free mental division.\n\n### Final Answer\n\n**Therefore, the correct answer is ₹ 1451.**