If an article was bought for Rs. 800 and a repairing charge of Rs. 50 was paid for it, and it is supposed to be sold at a profit of 25% on the marked price which is 50% added on the cost price. Find the required selling price.

1. A

   Rs. 1573.75

2. B

   Rs. 1673.25

3. C

   Rs. 1593.75

4. D

   Rs. 1623.25

Appeared in: DSSSB - 29 August 2019 (Shift-1)

Explanation

• The first step is to determine the total Cost Price (CP) by adding the purchase price and the repair charge: Rs. 800 + Rs. 50 = Rs. 850.
• Next, the Marked Price (MP) is calculated. It is 50% more than the Cost Price, so MP = Rs. 850 × (1 + 0.50) = Rs. 1275.
• The final step is to calculate the Selling Price (SP). The problem states a 'profit of 25% on the marked price', which in this context means the SP is 25% above the MP.
• Therefore, the SP is calculated as Rs. 1275 × (1 + 0.25) = Rs. 1593.75.

Why Other Options Were Wrong

• Option A: This value is incorrect and likely results from a miscalculation at some stage, such as using an incorrect base for the percentage calculations or an arithmetic error.
• Option B: This option is incorrect. It may arise from compounding the percentages incorrectly or making a significant error in multiplication or addition.
• Option D: This value is incorrect. Such an error could occur if the percentages were misread or applied to the wrong amounts during the calculation process.

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Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Profit, Loss, and Discount Calculations as background academic context rather than a clinical decision trigger.
• This question tests quantitative aptitude, a fundamental skill assessed in the non-nursing sections of nursing recruitment exams.
• Strong numerical ability is essential for various nursing tasks, including medication dosage calculation, fluid balance monitoring, and interpreting patient data charts.
• What if the profit was 25% on the cost price? The profit amount would be 0.25 × Rs. 850 = Rs. 212.50. The selling price would then be Rs. 850 + Rs. 212.50 = Rs. 1062.50. This highlights the importance of identifying the correct base for percentage calculations.

How to Approach the Question

• First, carefully read the problem to identify all the given values: purchase price, repair costs, markup percentage, and profit percentage.
• Break the problem down into sequential steps. The logical flow is to first find the total cost, then the marked price, and finally the selling price.
• Calculate the total Cost Price (CP) by summing the initial price and any overheads (like repairs).
• Calculate the Marked Price (MP) by applying the given markup percentage to the total CP.
• Pay close attention to the wording for the final calculation. 'Profit of 25% on the marked price' is interpreted here as adding 25% to the MP to find the SP.
• Perform each calculation carefully and double-check your arithmetic to avoid errors.

Concept Tested & Keywords

• Concept Tested: Profit, Loss, and Discount Calculations
• Stem keywords: article, bought, repairing charge, profit, marked price, cost price
• Lead-in keywords: Find the required selling price

Question ID

Q7s-0CBamXeXwNprvwRuuf

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