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A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ?
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A confused bank teller transposed the rupees and paise when he cashed ...
The Problem
A bank teller made a mistake when cashing a cheque for Shailaja, transposing the rupees and paise. This means that he gave her rupees instead of paise and paise instead of rupees. Shailaja realized the mistake after buying a toffee for 50 paise and noticing that she was left with exactly three times the amount on the cheque. We need to determine the valid statement about the cheque amount based on this information.
Given Information
- The bank teller transposed the rupees and paise when cashing the cheque.
- Shailaja bought a toffee for 50 paise.
- Shailaja was left with exactly three times the amount on the cheque.
Analysis
Let's assume the amount on the cheque in paise is 'x' and the rupees is 'y'. Since the teller transposed the rupees and paise, Shailaja received 'x' rupees and 'y' paise.
According to the given information, Shailaja was left with three times the amount on the cheque after buying a toffee for 50 paise. This can be represented as:
3 * (x + 100y) = x - 50
Simplifying the equation, we get:
3x + 300y = x - 50
2x = -300y - 50
Solving for x, we get:
x = (-300y - 50) / 2
Valid Statement about the Cheque Amount
Since the amount on the cheque cannot be negative, the valid statement about the cheque amount is that the expression (-300y - 50) / 2 must be greater than or equal to zero.
(-300y - 50) / 2 ≥ 0
Simplifying the inequality, we get:
-300y - 50 ≥ 0
-300y ≥ 50
y ≤ -50/300
y ≤ -1/6
Therefore, the valid statement about the cheque amount is that the paise amount (y) must be less than or equal to -1/6.
Conclusion
Based on the given information and analysis, the valid statement about the cheque amount is that the paise amount (y) must be less than or equal to -1/6.
A bank teller made a mistake when cashing a cheque for Shailaja, transposing the rupees and paise. This means that he gave her rupees instead of paise and paise instead of rupees. Shailaja realized the mistake after buying a toffee for 50 paise and noticing that she was left with exactly three times the amount on the cheque. We need to determine the valid statement about the cheque amount based on this information.
Given Information
- The bank teller transposed the rupees and paise when cashing the cheque.
- Shailaja bought a toffee for 50 paise.
- Shailaja was left with exactly three times the amount on the cheque.
Analysis
Let's assume the amount on the cheque in paise is 'x' and the rupees is 'y'. Since the teller transposed the rupees and paise, Shailaja received 'x' rupees and 'y' paise.
According to the given information, Shailaja was left with three times the amount on the cheque after buying a toffee for 50 paise. This can be represented as:
3 * (x + 100y) = x - 50
Simplifying the equation, we get:
3x + 300y = x - 50
2x = -300y - 50
Solving for x, we get:
x = (-300y - 50) / 2
Valid Statement about the Cheque Amount
Since the amount on the cheque cannot be negative, the valid statement about the cheque amount is that the expression (-300y - 50) / 2 must be greater than or equal to zero.
(-300y - 50) / 2 ≥ 0
Simplifying the inequality, we get:
-300y - 50 ≥ 0
-300y ≥ 50
y ≤ -50/300
y ≤ -1/6
Therefore, the valid statement about the cheque amount is that the paise amount (y) must be less than or equal to -1/6.
Conclusion
Based on the given information and analysis, the valid statement about the cheque amount is that the paise amount (y) must be less than or equal to -1/6.
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A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ?
Question Description
A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ?.
A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ?.
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A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ?, a detailed solution for A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ? has been provided alongside types of A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount ? theory, EduRev gives you an
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