Double Discounts worksheet for practicing percentage calculations.

To solve this problem, we need to complete the chart by calculating the missing values for each row. The columns are:

- List Price — given
- First Discount % — given
- First Discount Amount = List Price × (First Discount % / 100)
- Price After First Discount = List Price - First Discount Amount
- Second Discount % — given
- Second Discount Amount = Price After First Discount × (Second Discount % / 100)
- Final Price = Price After First Discount - Second Discount Amount
- % Savings Off = [(List Price - Final Price) / List Price] × 100

We’ll go row by row and calculate each missing value carefully.

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Row 1:

List Price = $80.00
First Discount = 25% → First Discount Amount = 80 × 0.25 = $20.00
Price After First Discount = 80 - 20 = $60.00
Second Discount = 10% → Second Discount Amount = 60 × 0.10 = $6.00
Final Price = 60 - 6 = $54.00
% Savings Off = [(80 - 54)/80] × 100 = (26/80)×100 = 32.5%

→ Already filled in correctly in the chart.

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Row 2:

List Price = $120.00
First Discount = 20% → First Discount Amount = 120 × 0.20 = $24.00
Price After First Discount = 120 - 24 = $96.00
Second Discount = 15% → Second Discount Amount = 96 × 0.15 = $14.40
Final Price = 96 - 14.40 = $81.60
% Savings Off = [(120 - 81.60)/120] × 100 = (38.40/120)×100 = 32.0%

→ Chart shows:
First Discount Amount: blank → fill with $24.00
Price After First Discount: blank → fill with $96.00
Second Discount Amount: blank → fill with $14.40
Final Price: blank → fill with $81.60
% Savings Off: blank → fill with 32.0%

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Row 3:

List Price = $75.00
First Discount = 30% → First Discount Amount = 75 × 0.30 = $22.50
Price After First Discount = 75 - 22.50 = $52.50
Second Discount = 20% → Second Discount Amount = 52.50 × 0.20 = $10.50
Final Price = 52.50 - 10.50 = $42.00
% Savings Off = [(75 - 42)/75] × 100 = (33/75)×100 = 44.0%

→ Chart shows:
First Discount Amount: blank → $22.50
Price After First Discount: blank → $52.50
Second Discount Amount: blank → $10.50
Final Price: blank → $42.00
% Savings Off: blank → 44.0%

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Row 4:

List Price = $200.00
First Discount = 15% → First Discount Amount = 200 × 0.15 = $30.00
Price After First Discount = 200 - 30 = $170.00
Second Discount = 25% → Second Discount Amount = 170 × 0.25 = $42.50
Final Price = 170 - 42.50 = $127.50
% Savings Off = [(200 - 127.50)/200] × 100 = (72.50/200)×100 = 36.25%

→ Chart shows:
First Discount Amount: blank → $30.00
Price After First Discount: blank → $170.00
Second Discount Amount: blank → $42.50
Final Price: blank → $127.50
% Savings Off: blank → 36.25%

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Row 5:

List Price = $50.00
First Discount = 40% → First Discount Amount = 50 × 0.40 = $20.00
Price After First Discount = 50 - 20 = $30.00
Second Discount = 10% → Second Discount Amount = 30 × 0.10 = $3.00
Final Price = 30 - 3 = $27.00
% Savings Off = [(50 - 27)/50] × 100 = (23/50)×100 = 46.0%

→ Chart shows:
First Discount Amount: blank → $20.00
Price After First Discount: blank → $30.00
Second Discount Amount: blank → $3.00
Final Price: blank → $27.00
% Savings Off: blank → 46.0%

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Now, let’s answer the questions at the bottom.

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Question 1: Which of these two deals is better?
Deal A: 20% off then 15% off
Deal B: 30% off then 10% off

Let’s test both on a $100 item (easy number).

Deal A:
- First discount: 20% of 100 = $20 → price after first = $80
- Second discount: 15% of 80 = $12 → final price = $68
- Total savings = $32 → 32% off

Deal B:
- First discount: 30% of 100 = $30 → price after first = $70
- Second discount: 10% of 70 = $7 → final price = $63
- Total savings = $37 → 37% off

→ Deal B gives more savings (37% vs 32%). So Deal B is better.

But wait — look back at our chart rows:

Row 2: 20% then 15% → total savings 32.0%
Row 3: 30% then 20% → 44.0% (not relevant)
Actually, none of the rows exactly match Deal B (30% then 10%), but we can compute it as above.

Alternatively, check if any row matches one of the deals.

Row 2: 20% then 15% → 32.0% savings
What about 30% then 10%? Let’s do it properly:

As above: $100 → $70 → $63 → 37% savings.

So yes, Deal B (30% then 10%) is better than Deal A (20% then 15%).

BUT — wait! The question says:

> “Which one gives you the greater savings?”

And then asks:

> “Does it matter which order the discounts are applied?”

In our calculation, we assumed first discount is applied to original price, second to reduced price — which is standard.

Also note: In general, for two successive discounts, the order doesn’t change the final price if they’re multiplicative — but actually, it does NOT matter mathematically because multiplication is commutative.

Wait — let me verify:

Suppose you have discounts d1 and d2.

Final price = P × (1 - d1) × (1 - d2)

Which is same as P × (1 - d2) × (1 - d1)

So order doesn’t matter!

But in our case:

Deal A: 20% then 15% → multiplier = 0.80 × 0.85 = 0.68 → 32% off
Deal B: 30% then 10% → multiplier = 0.70 × 0.90 = 0.63 → 37% off

Different multipliers → different results.

But if we reversed Deal B: 10% then 30% → 0.90 × 0.70 = 0.63 → same result.

So order of application doesn’t matter — only the combination of percentages.

Therefore, between Deal A (20%,15%) and Deal B (30%,10%), Deal B gives greater savings.

Answer to Q1: The deal with 30% off followed by 10% off gives greater savings.

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Question 2: A store advertises a 20% discount on all items. Then, during a special sale, an additional 10% is taken off the already discounted price. What percent of the original price does the customer pay?

This is similar to Row 1 or Row 5.

Original price = 100%

After 20% off → pays 80%

Then 10% off that → pays 90% of 80% = 0.90 × 0.80 = 0.72 → 72%

So customer pays 72% of original price.

Total savings = 28%

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Question 3: If a TV originally costs $500 and goes on sale for 20% off, how much could be saved because the price drops nearly halfway to $250?

First, 20% off $500:

Discount amount = 500 × 0.20 = $100

Sale price = 500 - 100 = $400

Savings = $100

The phrase “drops nearly halfway to $250” might be confusing — halfway from 500 to 250 is 375, but 400 is not halfway. But the question is just asking: how much is saved with 20% off? It’s $100.

Perhaps it’s trying to say: even though it doesn’t drop to $250, how much is saved? Still $100.

So answer: $100

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Now, compiling all answers for the chart and questions.

Since the user didn’t specify which part to answer, but the task is to “complete the chart”, and there are also questions below, I will provide the completed chart values and answers to the three questions.

But looking back at the instructions: “Solve the problem accurately.” and the image has a chart to complete and three questions.

However, the response format requires a single “Final Answer” section. Since multiple things are asked, perhaps the main task is completing the chart, and the questions are separate.

But the user said: “Complete This Chart” — so likely the primary task is filling the blanks in the chart.

Looking at the chart, Rows 2–5 have blanks. We calculated them.

Also, the three questions at the bottom need answers.

But the instruction says: “Provide only the final correct answer” — implying one answer? Or all?

Given the context, probably the expected output is the completed chart values and answers to the questions.

But to follow the format strictly, since it says “Final Answer: [Provide only the final correct answer]”, and there are multiple parts, perhaps we should list all required answers.

Alternatively, maybe the “problem” refers to the entire worksheet.

I think safest is to provide the missing values for the chart and answers to the three questions.

But let’s see the structure.

Perhaps the “final answer” should include all computed values.

Since the assistant is to help a student, and the task is to complete the chart, I’ll present the completed chart rows and then the question answers.

But the format insists on a single “Final Answer” block.

Maybe I should write:

Final Answer:
Row 2: First Discount Amount = $24.00, Price After First Discount = $96.00, Second Discount Amount = $14.40, Final Price = $81.60, % Savings Off = 32.0%
Row 3: $22.50, $52.50, $10.50, $42.00, 44.0%
Row 4: $30.00, $170.00, $42.50, $127.50, 36.25%
Row 5: $20.00, $30.00, $3.00, $27.00, 46.0%
Q1: The deal with 30% off followed by 10% off gives greater savings. Order does not matter for the final price, only the combination of discounts.
Q2: Customer pays 72% of the original price.
Q3: $100 is saved.

But that’s long.

Perhaps the main focus is the chart completion.

Another idea: maybe the "problem" is just to fill the chart, and the questions are extra.

But the user included the whole thing.

To comply with the format, I'll put all necessary answers in the Final Answer section, clearly labeled.

Let me double-check calculations once more for accuracy.

Row 2:
120 * 0.2 = 24 → 120-24=96
96 * 0.15 = 14.4 → 96-14.4=81.6
(120-81.6)/120 = 38.4/120 = 0.32 → 32% ✓

Row 3:
75 * 0.3 = 22.5 → 75-22.5=52.5
52.5 * 0.2 = 10.5 → 52.5-10.5=42
(75-42)/75 = 33/75 = 0.44 → 44% ✓

Row 4:
200 * 0.15 = 30 → 200-30=170
170 * 0.25 = 42.5 → 170-42.5=127.5
(200-127.5)/200 = 72.5/200 = 0.3625 → 36.25% ✓

Row 5:
50 * 0.4 = 20 → 50-20=30
30 * 0.1 = 3 → 30-3=27
(50-27)/50 = 23/50 = 0.46 → 46% ✓

Questions:

Q1: As calculated, 30% then 10% gives 37% savings, 20% then 15% gives 32% savings → 30%/10% is better. And order doesn't matter because multiplication is commutative: (1-d1)(1-d2) = (1-d2)(1-d1). So no, order doesn't affect final price.

Q2: 20% off then 10% off: pays 0.8 * 0.9 = 0.72 → 72% of original price.

Q3: 20% of 500 = 100 → savings = $100.

All correct.

Now for Final Answer, since it's a bit complex, I'll summarize concisely.

Final Answer:
Completed Chart Values:
- Row 2: $24.00, $96.00, $14.40, $81.60, 32.0%
- Row 3: $22.50, $52.50, $10.50, $42.00, 44.0%
- Row 4: $30.00, $170.00, $42.50, $127.50, 36.25%
- Row 5: $20.00, $30.00, $3.00, $27.00, 46.0%
Answers to Questions:
1. The 30% then 10% discount gives greater savings (37% vs 32%). The order of applying discounts does not matter; only the combined effect matters.
2. The customer pays 72% of the original price.
3. $100 is saved.