Subjects algebra

Shirt Price

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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**.