How Much Did the Man Spend on Repairs for 30 Defective Machines?

A man purchased 30 defective machines for Rs. 1000 and sold each repaired machine for Rs. 300, making a profit of Rs. 150 per machine. This article will break down the detailed steps to determine the total repair cost.

Step-by-Step Breakdown

Let's begin the analysis with the purchase cost of the defective machines.

Initial Cost

The man bought 30 defective machines for Rs. 1000. Therefore, the cost per machine is:

Cost per machine Rs. 1000 / 30 ≈ Rs. 33.33

Selling Price

Each machine was sold for Rs. 300 after repair.

Profit per Machine

According to the problem, he made a profit of Rs. 150 per machine. To find the total cost price (CP) per repaired machine:

Cost Price (CP) Selling Price (SP) - Profit

CP Rs. 300 - Rs. 150 Rs. 150

Therefore, the total cost price for 30 machines is:

Total Cost Price for 30 machines 30 * Rs. 150 Rs. 4500

Total Repair Cost Calculation

The total cost incurred by the man is the sum of the initial cost of the defective machines and the repair costs. Let R be the total repair cost. The equation can be set up as:

Initial Cost R Total Cost Price for 30 machines

Rs. 1000 R Rs. 4500

Solving for R:

R Rs. 4500 - Rs. 1000 Rs. 3500

Therefore, the man spent Rs. 3500 on repairs.

Alternative Method to Calculate Total Repair Cost

Here's an alternative method to calculate the repair costs:

Alternative Step-by-Step Breakdown

C.P. of 30 machines Rs. 1500

C.P. of one machine Rs. 1500 / 30 Rs. 50

Let repair charges per machine x

Actual C.P. of one machine Rs. 5

S.P. of one machine Rs. 300

Profit Rs. 300 - Rs. 5 Rs. 150

300 - 50 - x Rs. 150

x Rs. 100

For 30 machines 100 * 30 Rs. 3000

He spent Rs. 3000 on repairs.

C.P. of 30 machines Rs. 1000

S.P. of 30 machines 300 * 30 Rs. 9000

Profit on 30 machines 150 * 30 Rs. 4500

Overall Cost of Purchase after repairing 9000 - 4500 Rs. 4500 (including 1000 for C.P.)

So repair cost for 30 machines 4500 - 1000 Rs. 3500

Conclusion

After breaking down the problem using both methods, we can conclude that the man spent Rs. 3500 on repairs.