If cost discount is 10%, a book bought for Rs.9 is valued at?

Appeared in: BSF Staff Nurse - 2015

Explanation

The question requires finding the original value of an item when the discounted price and discount percentage are known.
A 10% discount implies that the purchase price of Rs. 9 represents 90% (i.e., 100% - 10%) of the original value.
To find the full 100% value, the purchase price must be divided by the percentage it represents in decimal form.
The calculation is: Original Value = Rs. 9 / 0.90, which equals Rs. 10.

Option A: If the original value was Rs. 12, a 10% discount (Rs. 1.20) would result in a selling price of Rs. 10.80, not Rs. 9.
Option B: This value is incorrect. It might be a result of a calculation error, such as adding 10% of Rs. 9 (which is Rs. 0.90) to Rs. 9, resulting in Rs. 9.90, and then rounding.
Option D: If the original value was Rs. 11, a 10% discount (Rs. 1.10) would result in a selling price of Rs. 9.90, not Rs. 9.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating the original price after a percentage discount as background academic context rather than a clinical decision trigger.
This is a general aptitude question designed to test basic mathematical skills, specifically the application of percentages.
While not a clinical skill, proficiency in basic math is essential for nurses for tasks like medication dosage calculations, fluid balance charting, and interpreting data.
What if the question stated the book was sold for Rs. 9 at a 10% profit? In that case, the Rs. 9 would represent 110% of the cost price, and the cost price would be Rs. 9 / 1.10 = Rs. 8.18.

How to Approach the Question

First, identify the key information provided: the final price (Rs. 9) and the discount percentage (10%).
Recognize that the final price is the result of the original price being reduced by the discount.
Calculate the percentage of the original price that was actually paid: 100% - 10% = 90%.
Set up an equation where 'V' (Original Value) multiplied by the percentage paid (in decimal form) equals the final price: V * 0.90 = 9.
Solve for 'V' by dividing the final price by the decimal percentage: V = 9 / 0.90.
Perform the calculation to find the original value and select the matching option.

Concept Tested & Keywords

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