Company A produces toy trucks at a cost of Rs. 50.00 each for the first 100 trucks and Rs. 35.00 for each additional truck. If 500 toy trucks were produced by Company A and sold for Rs. 100.00 each, what was Company A's gross profit?
Step-by-step Solution:
Step 1: Calculate the Total Cost of Production
Cost for the first 100 trucks = Rs. 50.00 per truck
\[
100 \times 50 = 5000
\]
Cost for the remaining 400 trucks = Rs. 35.00 per truck
\[
400 \times 35 = 14000
\]
Total cost of production =
\[
5000 + 14000 = 19000
\]
Step 2: Calculate the Total Revenue
Selling price per truck = Rs. 100.00
Total revenue for 500 trucks =
\[
500 \times 100 = 50000
\]
Step 3: Calculate the Gross Profit
\[
\text{Gross Profit} = \text{Total Revenue} - \text{Total Cost}
\]
\[
50000 - 19000 = 31000
\]
Final Answer
\(
Rs. 31,000
\)