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.