Subjects algebra

Selling Price Pants

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Selling Price Pants


1. **Stating the problem:** IGI Fashion company outsources pants costing P120 each. Overhead cost = 75% of product cost. Owner wants 40% profit on selling price. Find (a) selling price, (b) lowest break-even price, (c) check if buy-one-take-one for 500 pesos is possible. 2. **Calculate product cost and overhead cost:** Product cost $=120$ Overhead cost $=0.75 \times 120=90$ 3. **Calculate total cost:** Total cost $=120 + 90 = 210$ 4. **Set selling price $S$ and profit condition:** Owner wants profit $=40\%$ of selling price, so: Profit $=0.4S$ 5. **Relation between cost, price, and profit:** Selling price $= \text{total cost} + \text{profit}$ $$S = 210 + 0.4S$$ 6. **Solve for $S$: ** $$S - 0.4S = 210$$ $$0.6S = 210$$ $$S = \frac{210}{0.6} = 350$$ 7. **Lowest break-even price:** Break-even means no profit: Lowest price $=\text{total cost} = 210$ 8. **Check promotion buy-one take-one for 500 pesos:** Cost of two pants is $2 \times 210 = 420$ In promo they sell 2 for P500, Profit $= 500 - 420 = 80 > 0$ So promotion is possible and profitable. **Final answers:** - Selling price $=350$ - Lowest break-even price $=210$ - Buy-one take-one for 500 pesos is possible with profit.