A seller expects a gain of 25 percent on his cost price. If in a week, his sale was Rs. 14,000, what was his average daily profit?

Appeared in: DSSSB -28 August 2019 (Shift-2)

Explanation

The relationship between Selling Price (SP), Cost Price (CP), and a 25% gain on CP is SP = CP × (1 + 0.25) or SP = 1.25 × CP.
Given the weekly sale (SP) of Rs. 14,000, the Cost Price (CP) is calculated as CP = Rs. 14,000 / 1.25 = Rs. 11,200.
The total profit for the week is the difference between the selling price and the cost price: Profit = Rs. 14,000 - Rs. 11,200 = Rs. 2,800.
The average daily profit is the total weekly profit divided by 7 days: Rs. 2,800 / 7 = Rs. 400.

Option A: This value is incorrect. It may result from a calculation error, such as dividing the weekly profit (Rs. 2,800) by 8 instead of 7 (2800 ÷ 8 = 350).
Option B: This value is incorrect and does not correspond to a logical step in the calculation. It likely stems from a significant miscalculation.
Option C: This is a common error that arises from incorrectly calculating the profit based on the selling price instead of the cost price. If you calculate 25% of the selling price (0.25 × 14,000 = 3,500) and then find the daily average (3,500 ÷ 7), you get Rs. 500.

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.
While not a clinical question, this tests basic numeracy and analytical skills, which are fundamental for nurses.
Nurses use similar calculation skills daily for tasks such as medication dosage calculation, titrating IV drips, calculating patient intake and output, and managing budgets for ward supplies.
What if the gain was 20% instead of 25%? The CP would be 14,000 / 1.20 = Rs. 11,666.67. The weekly profit would be Rs. 2,333.33, and the average daily profit would be approximately Rs. 333.33.

How to Approach the Question

First, carefully read the question to identify all the given information: the total weekly sale (Selling Price) is Rs. 14,000, and the gain is 25% on the cost price.
Recognize that the core of the problem is to find the Cost Price (CP) first. The profit percentage is given in relation to the CP.
Use the formula that connects Selling Price (SP), Cost Price (CP), and profit percentage: SP = CP × (1 + Profit%/100).
Substitute the known values into the formula to calculate the CP for the week.
Once you have both SP and CP, calculate the total profit for the week (Profit = SP - CP).
Finally, read the question again to ensure you answer what is being asked. The question asks for the average daily profit, so divide the total weekly profit by 7.

Concept Tested & Keywords

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Practise the full DSSSB -28 August 2019 (Shift-2)

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