13 chairs and 5 tables were bought for Rs. 8280. If the average cost of table be Rs 1227, what is the average cost of a chair?

Appeared in: NORCET 3 - 2022 (Shift-1)

Explanation

The first step is to calculate the total cost of the 5 tables by multiplying the quantity by the average cost per table: 5 tables × Rs. 1227/table = Rs. 6135.
Next, the total cost of the 13 chairs is found by subtracting the total cost of the tables from the overall purchase amount: Rs. 8280 - Rs. 6135 = Rs. 2145.
Finally, the average cost of a single chair is determined by dividing the total cost of the chairs by the number of chairs: Rs. 2145 / 13 chairs = Rs. 165 per chair.

Option A: Assuming a chair costs Rs. 175 would lead to a total expenditure of (13 × 175) + (5 × 1227) = 2275 + 6135 = Rs. 8410, which does not match the given total of Rs. 8280.
Option B: Assuming a chair costs Rs. 145 would lead to a total expenditure of (13 × 145) + (5 × 1227) = 1885 + 6135 = Rs. 8020, which does not match the given total of Rs. 8280.
Option D: This option is incorrect because a valid answer (Rs. 165) can be calculated from the given information and is present as another option.

Visual 1: Infographic - A simple chart breaking down the total cost. It would show the total bar of Rs. 8280, with one section labeled '5 Tables = Rs. 6135' and the remaining section labeled '13 Chairs = Rs. 2145', with a final calculation showing Rs. 2145 / 13 = Rs. 165.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Average Cost Calculation as background academic context rather than a clinical decision trigger.
This question tests fundamental numerical reasoning and problem-solving skills, which are crucial for various professional tasks, including budget management, resource allocation, and data analysis.
The ability to break down a complex problem into smaller, manageable steps is a key competency assessed by such questions.
What if the total cost was Rs. 8,020 instead? In that case, the total cost for chairs would be Rs. 8020 - Rs. 6135 = Rs. 1885. The average cost per chair would then be Rs. 1885 / 13 = Rs. 145, making option B correct.

How to Approach the Question

First, carefully read the word problem and identify all the known values: total cost (Rs. 8280), number of chairs (13), number of tables (5), and the average cost of a table (Rs. 1227).
Identify the unknown value you need to find: the average cost of a chair.
Formulate a plan. The logical sequence is: (a) Calculate the total cost of all tables. (b) Subtract this from the grand total to find the total cost of all chairs. (c) Divide the total cost of chairs by the number of chairs.
Execute the calculation for the total cost of tables: 5 * 1227 = 6135.
Calculate the total cost of chairs: 8280 - 6135 = 2145.
Calculate the average cost of one chair: 2145 / 13 = 165.

Concept Tested & Keywords

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Practise the full NORCET 3 - 2022 (Shift-1)

Attempt every question from this paper in a timed mock, then review the full solution for each one.