Sure! Let’s solve this step by step.
We are given the original
Price and
Discount % for each item. We need to calculate the
New Price after the discount, then find the
Total Cost (sum of all new prices) and
Total Savings (sum of all discounts).
---
Step 1: Formula
To find the
New Price:
>
New Price = Original Price × (1 - Discount %)
*(Discount % must be in decimal form)*
To find the
Savings per item:
>
Savings = Original Price × Discount %
---
Step 2: Calculate New Price for Each Item
#### 1. Sofa
- Price: $800
- Discount: 40% → 0.40
- New Price = 800 × (1 - 0.40) = 800 × 0.60 =
$480
#### 2. TV
- Price: $2400
- Discount: 25% → 0.25
- New Price = 2400 × (1 - 0.25) = 2400 × 0.75 =
$1800
#### 3. Bed
- Price: $1800
- Discount: 45% → 0.45
- New Price = 1800 × (1 - 0.45) = 1800 × 0.55 =
$990
#### 4. Office
- Price: $3600
- Discount: 30% → 0.30
- New Price = 3600 × (1 - 0.30) = 3600 × 0.70 =
$2520
#### 5. Microwave
- Price: $360
- Discount: 75% → 0.75
- New Price = 360 × (1 - 0.75) = 360 × 0.25 =
$90
---
Step 3: Fill in the Table
| Item | Price | Discount | New Price |
|-----------|--------|----------|-----------|
| Sofa | $800 | 40% off |
$480 |
| TV | $2400 | 25% off |
$1800 |
| Bed | $1800 | 45% off |
$990 |
| Office | $3600 | 30% off |
$2520 |
| Microwave | $360 | 75% off |
$90 |
---
Step 4: Calculate Total Cost
Add all
New Prices:
> $480 + $1800 + $990 + $2520 + $90
Let’s add step by step:
- 480 + 1800 =
2280
- 2280 + 990 =
3270
- 3270 + 2520 =
5790
- 5790 + 90 =
5880
✔ Total Cost = $5880
---
Step 5: Calculate Total Savings
We can either:
- Add up all individual savings, OR
- Subtract Total Cost from Total Original Price
Let’s do both to verify.
#### Method 1: Add Savings per item
- Sofa: 800 × 0.40 = $320
- TV: 2400 × 0.25 = $600
- Bed: 1800 × 0.45 = $810
- Office: 3600 × 0.30 = $1080
- Microwave: 360 × 0.75 = $270
Now sum:
> 320 + 600 = 920
> 920 + 810 = 1730
> 1730 + 1080 = 2810
> 2810 + 270 =
3080
✔ Total Savings = $3080
#### Method 2: Total Original Price – Total Cost
Total Original Price = 800 + 2400 + 1800 + 3600 + 360 =
→ 800 + 2400 = 3200
→ 3200 + 1800 = 5000
→ 5000 + 3600 = 8600
→ 8600 + 360 =
$8960
Total Cost = $5880
Savings = 8960 - 5880 =
$3080 ✔ Same result!
---
✔ Final Answers:
Total Cost = $5880
Total Savings = $3080
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Let me know if you’d like this explained with visuals or another method!
Parent Tip: Review the logic above to help your child master the concept of finding percentages worksheet for 6th.
