An owner of a furniture shop charges 23% more than the cost price. If a customer paid Rs. 36,900 for a sofa set, what was the original price of the sofa set?

1. A

   32000

2. B

   30000

3. C

   31300

4. D

   29200

Appeared in: KGMU 2023

Explanation

• The question asks for the original price (Cost Price) when the selling price and profit percentage are known.
• The selling price (SP) is the cost price (CP) plus the profit. Here, the profit is 23% of the CP.
• The formula is: SP = CP × (1 + Profit Percentage / 100).
• To find the CP, we rearrange the formula: CP = SP / (1 + Profit Percentage / 100).
• Substituting the given values: CP = 36,900 / (1 + 23/100) = 36,900 / 1.23.
• Calculation: 36,900 / 1.23 = 30,000. Thus, the original price was Rs. 30,000.

Why Other Options Were Wrong

• Option A: If the cost price were Rs. 32,000, adding a 23% profit (Rs. 7,360) would make the selling price Rs. 39,360, which is higher than the price the customer paid.
• Option C: If the cost price were Rs. 31,300, adding a 23% profit (Rs. 7,199) would make the selling price Rs. 38,499, which is higher than the price the customer paid.
• Option D: If the cost price were Rs. 29,200, adding a 23% profit (Rs. 6,716) would make the selling price Rs. 35,916. This is close but incorrect, representing a common calculation error.

Related Visual

• Visual 1: No visual is required for this question type, as it involves a straightforward mathematical calculation.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating Cost Price from Selling Price and Profit Percentage as background academic context rather than a clinical decision trigger.
• While not a clinical question, strong numeracy is a foundational skill for nurses, essential for patient safety and effective care.
• Nurses frequently use percentage calculations for tasks such as determining medication dosages, calculating IV drip rates, assessing burn surface area (Rule of Nines), and interpreting nutritional information.
• A solid grasp of basic mathematics prevents critical errors in medication administration and fluid management.

How to Approach the Question

• First, identify the given information in the problem: the Selling Price (SP) is Rs. 36,900 and the profit is 23% of the cost price.
• Next, identify what you need to find: the original price, which is the Cost Price (CP).
• Recall the fundamental relationship between these values: Selling Price = Cost Price + Profit.
• Formulate an equation. Since profit is a percentage of the CP, the equation is SP = CP + (23/100) * CP, which simplifies to SP = CP * (1.23).
• Rearrange the formula to solve for the unknown variable (CP): CP = SP / 1.23.
• Substitute the known values into the formula and calculate the result: CP = 36,900 / 1.23 = 30,000.

Concept Tested & Keywords

• Concept Tested: Calculating Cost Price from Selling Price and Profit Percentage
• Stem keywords: furniture shop, charges 23% more, cost price, customer paid Rs. 36,900, original price
• Lead-in keywords: what was

Question ID

QXRM2TpBFThBRb1ClmtRLC

Copy ID