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Question

A fuel station sold diesel costing ₹15000 to 150 persons on a day. If the lower limit of sale to a person is ₹50, what is the maximum amount in rupees for which one person could have purchased diesel on that day?

The correct answer is
7550

Maximizing Diesel Purchase Amount

The problem asks for the maximum amount one person could have spent on diesel, given the total sales, the number of customers, and a minimum purchase amount per person. To maximize one person's purchase, we must minimize the purchases of all other customers.

Details Provided:

  • Total Sales Revenue: ₹15000
  • Total Number of Customers: 150
  • Minimum Purchase Amount per Customer: ₹50

Solving for Maximum Purchase

  1. Identify the number of customers excluding the one individual whose maximum purchase we want to find.

    Number of other customers = Total Customers - 1

    Number of other customers = $150 - 1 = 149$

  2. Calculate the minimum total amount these 149 customers could have spent. Each spent at least ₹50.

    Minimum spending by other customers = Number of other customers $\times$ Minimum Purchase Amount per Customer

    Minimum spending by other customers = $149 \times ₹50 = ₹7450$

  3. Subtract this minimum total from the overall total sales to find the maximum amount the single remaining customer could have spent.

    Maximum Amount for One Customer = Total Sales Revenue - Minimum spending by other customers

    Maximum Amount for One Customer = $₹15000 - ₹7450 = ₹7550$

Thus, the maximum amount one person could have purchased is ₹7550.

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Important Questions from Arithmetic (Teaching)

  1. A class II mathematics teacher gives the following word problem on addition to the students to solve :
    ‘‘A bag contains 4 mangoes and 6 more mangoes are added to it. How many total mangoes are there in the bag?’’
    This type of word problem belongs to which of the following structures of addition?
  2. A and B move clockwise around a circle, starting from a common point O. A takes 9 minutes to complete a round but re-starts after a delay of 1 minute. B takes 13 minutes to complete the round but restarts after a delay of 2 minutes. How many minutes after they began would they meet again at O?
  3. In an examination $100$ questions of $1$ mark each are given. After the examination, $20$ questions are deleted from evaluation, leaving $80$ questions with a total of $100$ marks. Student $A$ had answered $4$ of the deleted questions correctly and got $40$ marks, whereas student $B$ had answered $10$ of the deleted questions correctly and got $35$ marks. In this situation

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