Ramesh bought 125 kg of wheat for ₹7,500. He sold the entire quantity at a loss equal to the selling price of 25 kg of wheat. What was his selling price per kg?

1. A

   ₹50

2. B

   ₹48

3. C

   ₹45

4. D

   ₹42

Appeared in: NCL (Northern Coalfields Limited)-NO

Explanation

• The core concept is the relationship: Loss = Cost Price (CP) - Selling Price (SP).
• The problem states that the loss is equal to the selling price of 25 kg of wheat. If we let 'x' be the selling price per kg, the loss is 25x.
• The total cost price is ₹7,500, and the total selling price is 125x.
• Substituting these into the formula gives the equation: 25x = 7500 - 125x.
• Solving this linear equation (150x = 7500) yields x = 50.

Why Other Options Were Wrong

• Option B: If the selling price is ₹48, the total SP would be 125 * 48 = ₹6,000. The loss would be 7,500 - 6,000 = ₹1,500. However, the SP of 25 kg would be 25 * 48 = ₹1,200. Since ₹1,500 is not equal to ₹1,200, this option is incorrect.
• Option C: If the selling price is ₹45, the total SP would be 125 * 45 = ₹5,625. The loss would be 7,500 - 5,625 = ₹1,875. The SP of 25 kg would be 25 * 45 = ₹1,125. Since ₹1,875 is not equal to ₹1,125, this option is incorrect.
• Option D: If the selling price is ₹42, the total SP would be 125 * 42 = ₹5,250. The loss would be 7,500 - 5,250 = ₹2,250. The SP of 25 kg would be 25 * 42 = ₹1,050. Since ₹2,250 is not equal to ₹1,050, this option is incorrect.

Related Visual

• Visual 1: No visual is required for this type of mathematical problem.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Profit and Loss Calculation as background academic context rather than a clinical decision trigger.
• This question assesses basic mathematical and logical reasoning skills, which are essential for various calculations in a clinical setting, such as medication dosage, fluid balance, and data interpretation.
• While not a direct clinical scenario, the ability to set up and solve equations is a foundational skill for problem-solving in any professional field, including nursing.
• What if the problem stated a profit equal to the selling price of 25 kg? The formula would change to Profit = SP - CP, leading to the equation 25x = 125x - 7500, which would result in a different selling price (x = 75).

How to Approach the Question

• First, carefully read the problem to identify all the given values: total quantity (125 kg) and total cost price (₹7,500).
• Identify the core relationship described: the loss is equal to the selling price of a specific quantity (25 kg).
• Define an unknown variable for the value you need to find. Let 'x' be the selling price per kg.
• Translate the words of the problem into mathematical expressions: Total SP = 125x, Loss = 25x.
• Use the standard business formula (Loss = CP - SP) to create an equation by substituting your expressions: 25x = 7500 - 125x.
• Solve the resulting algebraic equation to find the value of 'x', which is the answer.

Concept Tested & Keywords

• Concept Tested: Profit and Loss Calculation
• Stem keywords: cost price, selling price, loss
• Lead-in keywords: What was

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