Thomas is planning a trip to India. He is currently deciding which cities he would like to visit during his stay. The table below shows possible cities for Thomas to visit, as well as how much money he expects to need at each one. All costs are given in Indian rupees (Rs.).
| City | Cost (Rs.) |
| :-------------------- | :--------- |
| Jaipur | 6,920 |
| Mumbai | 9,464 |
| Thiruvananthapuram | 9,160 |
| Lucknow | 5,276 |
| Bhopal | 8,268 |
| Bhubaneswar | 7,109 |
| New Delhi | 6,303 |
| Bengaluru | 6,735 |
Thomas had originally planned to visit Thiruvananthapuram, Mumbai, Bhubaneswar, and Bengaluru, but his budget of Rs. 25,300 makes that impossible. Which of the following itinerary changes will allow Thomas to stay within his budget? (Consider each option individually, rather than as a group.)
Answer (2)
Calculate the original itinerary cost: Rs. 9160 + 9464 + 7109 + 6735 = 32468 .
Calculate the cost of Option 1: Rs. 6920 + 5276 + 8268 + 6303 = 26767 .
Calculate the cost of Option 2: Rs. 6920 + 9464 + 5276 + 6303 = 27963 .
Neither option stays within the budget of Rs. 25,300, so the answer is that neither option works. Neither option works.
Explanation
Analyzing the Problem and Original Plan Let's analyze Thomas's trip to India. He has a budget of Rs. 25,300. His original plan includes visiting Thiruvananthapuram, Mumbai, Bhubaneswar, and Bengaluru. We need to determine which itinerary changes will allow him to stay within his budget. First, let's calculate the cost of his original plan.
Calculating Original Cost The cost of the original plan is: Thiruvananthapuram (Rs. 9,160) + Mumbai (Rs. 9,464) + Bhubaneswar (Rs. 7,109) + Bengaluru (Rs. 6,735) = Rs. 32,468. This exceeds his budget of Rs. 25,300.
Evaluating Option 1 Now, let's consider the possible itinerary changes individually.
Option 1: Instead of visiting Thiruvananthapuram, Mumbai, Bhubaneswar, and Bengaluru, Thomas visits Jaipur, Lucknow, Bhopal, and New Delhi. The cost would be: Jaipur (Rs. 6,920) + Lucknow (Rs. 5,276) + Bhopal (Rs. 8,268) + New Delhi (Rs. 6,303) = Rs. 26,767. This exceeds his budget of Rs. 25,300.
Evaluating Option 2 Option 2: Instead of visiting Thiruvananthapuram, Bhubaneswar, and Bengaluru, Thomas visits Jaipur, Mumbai, Lucknow, and New Delhi. The cost would be: Jaipur (Rs. 6,920) + Mumbai (Rs. 9,464) + Lucknow (Rs. 5,276) + New Delhi (Rs. 6,303) = Rs. 27,963. This exceeds his budget of Rs. 25,300.
Conclusion Therefore, neither of the proposed itinerary changes will allow Thomas to stay within his budget.
Examples
Imagine you're planning a road trip with friends and have a limited budget. You can use the same approach to calculate the costs of different routes and destinations, ensuring you stay within your budget. By comparing the expenses of various options, like different cities or accommodations, you can make informed decisions and optimize your trip to fit your financial constraints. This helps in real-life financial planning, ensuring you don't overspend and can enjoy your trip without money worries.
Thomas's original plan exceeds his budget of Rs. 25,300, totaling Rs. 32,468. Both proposed itinerary changes also exceed this budget, with Option 1 costing Rs. 26,767 and Option 2 costing Rs. 27,963. Therefore, neither of the options works within his budget.
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