UP CHO - 10 September 2021
Non Nursing Subjects
Hard
If Rohan paid Rs. 20 books at the rate of 120 each, Rs. 150 each and 30 books at the rate of Rs. Bought 15 books at the rate of 100 each, then find the average cost price per book. ?
Appeared in: UP CHO - 10 September 2021
Explanation
- determined by calculating the weighted average cost of the books.
- First, find the total cost of all books: (20 books × Rs. 120) + (30 books × Rs. 150) + (15 books × Rs. 100) = Rs. 2,400 + Rs. 4,500 + Rs. 1,500 = Rs. 8,400.
- Next, find the total number of books purchased: 20 + 30 + 15 = 65 books.
- Finally, divide the total cost by the total number of books to find the average cost per book: Rs. 8,400 / 65 books = Rs. 129.23 per book.
Why Other Options Were Wrong
- Option A: This value is an incorrect result of the calculation. It may arise from an error in summing the total cost or the total number of books.
- Option B: This is an incorrect calculation. It does not represent the true average cost based on the quantities and prices provided.
- Option C: This value is significantly higher than the correct average. It might result from a major calculation error, such as misplacing a decimal or an error in multiplication.
Related Visual
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests the mathematical concept of calculating a weighted average as background academic context rather than a clinical decision trigger.
- While this is a general aptitude question, strong numeracy skills are essential for nurses in daily practice.
- Nurses perform critical calculations for medication dosages, IV drip rates, and fluid balance monitoring, where accuracy is paramount for patient safety.
- What if? If a nurse were to miscalculate a medication dose by a similar margin of error as seen in the distractor options, it could lead to significant underdosing or overdosing, resulting in therapeutic failure or toxicity.
How to Approach the Question
- First, carefully read the question to identify what needs to be calculated, which is the 'average cost price per book'.
- Recognize that this is a weighted average problem because there are different quantities of books at different prices.
- Calculate the total cost for each group of books by multiplying the quantity by the price per book.
- Sum the costs of all groups to find the overall total cost.
- Sum the number of books in all groups to find the total quantity.
- Divide the overall total cost by the total quantity of books to determine the average cost.
Concept Tested & Keywords
- Concept Tested: This question tests the mathematical concept of calculating a weighted average.
- Stem keywords: average cost price, books, rate
- Lead-in keywords: find
Question ID
QUeIFaMwyyGUAlFa0ATGxy
Practise the full UP CHO - 10 September 2021
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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