By selling a CPU for Rs. 5405, a man makes a profit of 15%. At what price should he sell it to make a profit… - RRB Nsg. Superintendent-20 July 2019 (Shift-2)

RRB Nsg. Superintendent-20 July 2019 (Shift-2)

Non Nursing Subjects

Hard

Appeared in: RRB Nsg. Superintendent-20 July 2019 (Shift-2)

Explanation

The first step is to determine the original cost price (CP) of the CPU. The selling price (SP) of Rs. 5405 represents the CP plus a 15% profit.
The formula to find the CP is: CP = SP / (1 + Profit Percentage). So, CP = 5405 / (1 + 0.15) = 5405 / 1.15 = Rs. 4700.
The second step is to calculate the new selling price required to achieve a 25% profit on this cost price.
The formula for the new SP is: New SP = CP × (1 + New Profit Percentage). So, New SP = 4700 × (1 + 0.25) = 4700 × 1.25 = Rs. 5875.

Option B: This value is incorrect and likely stems from a miscalculation when multiplying the cost price (4700) by the new profit factor (1.25).
Option C: This value is incorrect. It may be the result of an arithmetic error during the multiplication or division steps of the calculation.
Option D: This value is also incorrect and represents a calculation error. It is close to the correct answer but does not accurately reflect a 25% profit on the calculated cost price.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating Selling Price based on Profit Percentage as background academic context rather than a clinical decision trigger.
While this is a mathematics question, strong quantitative skills are crucial in nursing for accurate medication dosage calculations, IV drip rate adjustments, and interpreting patient data.
Precision in calculation is a fundamental aspect of patient safety. A simple arithmetic error in a clinical context can lead to adverse patient outcomes.
What if the initial transaction was a 15% loss instead of a profit? The cost price would be higher (CP = 5405 / 0.85 ≈ 6359). The new selling price for a 25% profit would then be much higher (6359 × 1.25 ≈ Rs. 7948), demonstrating how the initial condition (profit vs. loss) significantly alters the outcome.

How to Approach the Question

First, carefully read the question to identify the given information: the initial selling price (SP1 = Rs. 5405) and the corresponding profit percentage (P1 = 15%).
Next, identify what needs to be calculated: the new selling price (SP2) that will yield a different profit percentage (P2 = 25%).
Recognize that the cost price (CP) of the item remains constant in both scenarios. This is the key link between the two parts of the problem.
Formulate a two-step plan. Step 1: Calculate the CP using the initial SP and profit. The formula is CP = SP / (1 + Profit Percentage).
Step 2: Use the calculated CP to find the new SP for the desired profit. The formula is New SP = CP × (1 + New Profit Percentage).
Execute the calculations carefully: CP = 5405 / 1.15 = 4700. Then, New SP = 4700 × 1.25 = 5875. Finally, match your result with the given options.

Concept Tested & Keywords

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