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Amit went to buy an article, whose maximum retail cost is Rs 10,000,but due to festival season there was also an option to pay price through EMI, where buyer can pay down payment of even Re.1. The person so took all his money distributed in 'n' bags, such that each bag has unique amount (partial withdrawal from bag is not possible). What should be minimum number of bags amit should carry so that, he should be able to pay amount as a down payment from Re.1 to Rs.9999?
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Amit went to buy an article, whose maximum retail cost is Rs 10,000,bu...
Minimum Number of Bags to Carry for Payment Options

To determine the minimum number of bags Amit should carry in order to pay the down payment for the article, we need to consider the range of amounts from Re.1 to Rs.9999.

Range of Amounts for Down Payment
- Re.1 to Rs.9999

Key Points:
- Amit wants to distribute his money among bags so that each bag has a unique amount.
- Partial withdrawal from a bag is not allowed.

Approach:
To find the minimum number of bags required, we need to identify the maximum number of unique amounts that can be formed using Amit's money distribution.

Observations:
- We can observe that the maximum retail cost of the article, i.e., Rs.10,000, is not required for the down payment range.
- The down payment range starts from Re.1, so Amit needs to have at least Re.1 in one of the bags.
- Considering the maximum down payment amount of Rs.9999, Amit needs to have a bag with Rs.9999 as well.

Distribution of Amounts:
We can distribute the remaining amounts in such a way that each bag has a unique amount. Let's consider a few scenarios:

Scenario 1:
- Bag 1: Rs.1
- Bag 2: Rs.2
- Bag 3: Rs.3
- Bag 4: Rs.4
- Bag 5: Rs.5
- Bag 6: Rs.6
- Bag 7: Rs.7
- Bag 8: Rs.8
- Bag 9: Rs.9
- Bag 10: Rs.9999

In this scenario, Amit needs to carry 10 bags to cover the down payment range from Re.1 to Rs.9999.

Scenario 2:
- Bag 1: Rs.1
- Bag 2: Rs.2
- Bag 3: Rs.3
- Bag 4: Rs.4
- Bag 5: Rs.5
- Bag 6: Rs.6
- Bag 7: Rs.7
- Bag 8: Rs.8
- Bag 9: Rs.9
- Bag 10: Rs.10
- Bag 11: Rs.9999

In this scenario, Amit needs to carry 11 bags to ensure he can pay the down payment amount from Re.1 to Rs.9999.

Conclusion:
Considering the two scenarios above, we can see that Amit needs to carry a minimum of 10 bags to cover the down payment range from Re.1 to Rs.9999.
Community Answer
Amit went to buy an article, whose maximum retail cost is Rs 10,000,bu...
9999
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Amit went to buy an article, whose maximum retail cost is Rs 10,000,but due to festival season there was also an option to pay price through EMI, where buyer can pay down payment of even Re.1. The person so took all his money distributed in 'n' bags, such that each bag has unique amount (partial withdrawal from bag is not possible). What should be minimum number of bags amit should carry so that, he should be able to pay amount as a down payment from Re.1 to Rs.9999?
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Amit went to buy an article, whose maximum retail cost is Rs 10,000,but due to festival season there was also an option to pay price through EMI, where buyer can pay down payment of even Re.1. The person so took all his money distributed in 'n' bags, such that each bag has unique amount (partial withdrawal from bag is not possible). What should be minimum number of bags amit should carry so that, he should be able to pay amount as a down payment from Re.1 to Rs.9999? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Amit went to buy an article, whose maximum retail cost is Rs 10,000,but due to festival season there was also an option to pay price through EMI, where buyer can pay down payment of even Re.1. The person so took all his money distributed in 'n' bags, such that each bag has unique amount (partial withdrawal from bag is not possible). What should be minimum number of bags amit should carry so that, he should be able to pay amount as a down payment from Re.1 to Rs.9999? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amit went to buy an article, whose maximum retail cost is Rs 10,000,but due to festival season there was also an option to pay price through EMI, where buyer can pay down payment of even Re.1. The person so took all his money distributed in 'n' bags, such that each bag has unique amount (partial withdrawal from bag is not possible). What should be minimum number of bags amit should carry so that, he should be able to pay amount as a down payment from Re.1 to Rs.9999?.
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