Rotomac produces very fine quality of writing pens. Company knows that...
Rotomac produces very fine quality of writing pens. Company knows that...
Given information:
- The company promises to deliver 7500 pens to its wholesaler at Rs. 15 each.
- The company estimates the overall profit on all the manufactured pens to be 25%.
- On average, 20% of the produced pens are defective and rejected before packing.
To find:
- The manufacturing cost of each pen.
Solution:
Step 1: Calculating the selling price of 7500 pens:
- The company promises to deliver 7500 pens to the wholesaler at Rs. 15 each.
- Therefore, the selling price of 7500 pens = 7500 * Rs. 15 = Rs. 112,500.
Step 2: Calculating the overall profit on all the manufactured pens:
- The company estimates the overall profit on all the manufactured pens to be 25%.
- Let's assume the manufacturing cost of each pen is 'C'.
- The selling price of 7500 pens is Rs. 112,500, which includes the overall profit.
- Therefore, the manufacturing cost of 7500 pens = Rs. 112,500 - 25% of Rs. 112,500
= Rs. 112,500 - 0.25 * Rs. 112,500
= Rs. 112,500 - Rs. 28,125
= Rs. 84,375.
Step 3: Calculating the manufacturing cost of each pen:
- The company knows that on average 20% of the produced pens are defective and rejected before packing.
- Therefore, the number of defective pens = 20% of 7500
= 0.20 * 7500
= 1500 pens.
- The total manufacturing cost of 7500 pens is Rs. 84,375.
- The number of non-defective pens = 7500 - 1500
= 6000 pens.
- The manufacturing cost of 6000 non-defective pens = Rs. 84,375.
- Therefore, the manufacturing cost of each pen = Rs. 84,375 / 6000
= Rs. 14.06 (approx.)
Conclusion:
- The manufacturing cost of each pen is approximately Rs. 14.06.
- None of the given options (a), (b), (c), (d), (e) matches the correct answer.