1. **Problem statement:** A shopkeeper marks a shirt at 1200 and gives a 20% discount, yet earns a profit of 25. We need to find the real price (cost price) of the shirt.
2. **Formula and explanation:**
- Marked Price (MP) = 1200
- Discount = 20% of MP
- Selling Price (SP) = MP - Discount
- Profit = SP - Cost Price (CP)
3. **Calculate the selling price:**
$$\text{Discount} = 20\% \times 1200 = 0.20 \times 1200 = 240$$
$$\text{SP} = 1200 - 240 = 960$$
4. **Use profit formula to find cost price:**
$$\text{Profit} = SP - CP$$
Given profit = 25, so
$$25 = 960 - CP$$
$$CP = 960 - 25 = 935$$
5. **Answer:** The real price (cost price) of the shirt is **935**.
Shirt Price
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.