A factory buys 7 machines: 2 of type A, 4 of type B, and 1 of type C. Their prices are Rs 56,000, Rs 45,000, and Rs 30,000 respectively. What is the average cost per machine?

Difficulty: Easy

Correct Answer: Rs 46,000

Explanation:


Introduction:
This is a straightforward weighted-average price question. We compute the total cost for all machines by type and divide by the total number of machines to find the average cost per unit.


Given Data / Assumptions:
Type A: 2 machines at Rs 56,000 each. Type B: 4 machines at Rs 45,000 each. Type C: 1 machine at Rs 30,000. Total machines = 7.


Concept / Approach:
Average cost = (Total cost of all machines) / (Total number of machines). Compute by summing each category's cost contribution.


Step-by-Step Solution:
Cost of A = 2 * 56,000 = Rs 112,000. Cost of B = 4 * 45,000 = Rs 180,000. Cost of C = 1 * 30,000 = Rs 30,000. Total cost = 112,000 + 180,000 + 30,000 = Rs 322,000. Average cost = 322,000 / 7 = Rs 46,000.


Verification / Alternative check:
Multiply back: Rs 46,000 * 7 = Rs 322,000, which matches the computed total cost across types A, B, and C.


Why Other Options Are Wrong:
Rs 43,666.66, Rs 41,333.33, Rs 44,500, Rs 45,000: None equal the exact quotient 322,000 / 7.


Common Pitfalls:
Averaging the three listed prices directly without weighting by counts, or forgetting that there is only one machine of type C.


Final Answer:
The average cost per machine is Rs 46,000.

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