Subjects arithmetic

Discount Problems

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

Search Solutions

Discount Problems


1) Problem: Calculate total amount Lenie Rose paid after a 4% discount and find how much discount she saved. Step 1: Calculate the total price of each item without discount. - Calamansi juice: $6 \times 12.75 = 76.50$ - Mango piayaya: $5 \times 45 = 225$ - Mango polvoron: $5 \times 55 = 275$ Step 2: Calculate total price without discount. $$76.50 + 225 + 275 = 576.50$$ Step 3: Calculate the discount amount at 4%. $$0.04 \times 576.50 = 23.06$$ Step 4: Calculate the final amount paid after discount. $$576.50 - 23.06 = 553.44$$ Answer: Lenie Rose paid **553.44** and saved **23.06** as discount. 2) Problem: Find original price of tennis shoes given that ₱1,785 was paid after 20% discount. Step 1: Let original price be $x$. Step 2: Price after 20% discount is 80% of original price. $$0.80x = 1785$$ Step 3: Solve for $x$. $$x = \frac{1785}{0.80} = 2231.25$$ Answer: The original price of the tennis shoes was **2231.25**. 3) Problem: Find discount rate given sale price ₱3,937.50 and original price ₱4,500. Step 1: Calculate discount amount. $$4500 - 3937.50 = 562.50$$ Step 2: Find discount rate as a percentage. $$\frac{562.50}{4500} \times 100\% = 12.5\%$$ Answer: The rate of discount is **12.5%**. 4) Problem: Find discount Katrina gave her friend who paid ₱1,800 after 15% discount. Step 1: Calculate discount amount. $$0.15 \times 1800 = 270$$ Answer: Katrina gave her friend a discount of **270**. 5) Problem: Find original price and final price paid for 1 dozen hair clips, discount amount ₱26.25 at 15% discount. Step 1: Let the original price be $x$. Step 2: Since discount is 15%, amount discounted is: $$0.15x = 26.25$$ Step 3: Solve for $x$. $$x = \frac{26.25}{0.15} = 175$$ Step 4: Calculate price paid after discount. $$175 - 26.25 = 148.75$$ Answer: Original price was **175** and they paid **148.75** for one dozen hair clips.