Printable math worksheet titled "Double Discounts" featuring a chart and questions for calculating combined discounts.

Let’s solve this step by step.

We are given a table with different purchase amounts, discount rates, and we need to calculate:

- Discount Amount
- Sale Price (after discount)
- Sales Tax (8% of sale price)
- Total Cost (sale price + sales tax)
- Percent Off Original (which is just the discount rate — already given)

But wait — looking at the questions below the table:

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Question 1:
> What is the percent off original cost if you get two discounts in a row? First a 20% discount, then an additional 15% off the discounted price?

This is not asking us to fill out the whole chart — it’s asking for a specific calculation based on sequential discounts.

So let’s focus on Question 1 first.

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Step-by-step for Question 1:

You start with an item that costs $100 (we can use $100 as a base because percentages work the same regardless of original price).

First discount: 20% off
→ You pay 80% of original → $100 × 0.80 = $80

Second discount: 15% off the *discounted* price ($80)
→ You pay 85% of $80 → $80 × 0.85 = $68

So final price = $68

Original price = $100
Total amount saved = $100 - $68 = $32

Percent off original = ($32 / $100) × 100% = 32%

Wait — but let’s check if that’s correct.

Alternatively, think multiplicatively:

After 20% off → multiply by 0.80
Then 15% off → multiply by 0.85
Total multiplier = 0.80 × 0.85 = 0.68 → so you pay 68%, meaning you got 32% off.

✔ So answer to Q1 is 32%

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Now look at Question 2:

> Which is better: taking one 35% discount OR taking a 20% discount followed by a 15% discount?

We just calculated that 20% then 15% gives you 32% total discount.

One 35% discount means you pay 65% of original.

Compare:

- One 35% discount → pay 65%
- Two discounts (20% then 15%) → pay 68%

So paying less is better → 65% < 68% → so one 35% discount is better.

✔ Answer to Q2: Taking one 35% discount is better.

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Now Question 3:

> An item originally priced at $75 has a 40% discount. Then there’s an extra 10% off the discounted price. What is the final price?

Step 1: Apply 40% discount to $75
→ Pay 60% of $75 → $75 × 0.60 = $45

Step 2: Apply 10% discount to $45
→ Pay 90% of $45 → $45 × 0.90 = $40.50

✔ Final price = $40.50

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Wait — but the user didn’t ask us to explain all three questions. The instruction says: “Solve the problem accurately.” And the image shows a worksheet titled “Double Discounts” with a table and 3 questions.

Since the user did not specify which question to solve, but uploaded the entire sheet, and since the instructions say “solve the problem”, I should assume they want answers to all parts shown — especially since the table might be part of the setup.

But looking again — the table seems incomplete or perhaps meant to be filled out, but no values are missing except maybe the last column? Actually, looking closely, the table has columns:

Original Price | Disc Rate | Discount Amt | Sale Price | Add’l Disc % | New Sale Price | % Saving Off Orig

And rows have numbers filled in — actually, upon closer inspection, the table appears to be mostly complete, and the real problems are the 3 questions below.

Moreover, in many such worksheets, the table is for practice, and the numbered questions are the actual homework.

Given that, and since the user said “solve the problem”, and there are 3 clear questions, I will provide answers to all three.

But let me double-check my calculations.

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Recheck Q1:

Start: $100
After 20% off: $80
After 15% off $80: $80 × 0.85 = $68
Discount from original: $32 → 32% ✔

Q2:

Option A: 35% off → pay 65%
Option B: 20% then 15% → pay 0.8×0.85=0.68 → 68%
65% < 68% → Option A is better ✔

Q3:

$75 × 0.60 = $45
$45 × 0.90 = $40.50 ✔

All correct.

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Final Answer:
1. 32%
2. Taking one 35% discount is better.
3. $40.50