- Percentage Increase & Decrease
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- Finding the final amount given the original amount and a percentage increase or decrease
- Finding the sale price given the original price and percent discount
- Finding the sale price without a calculator given the original price and percent discount
- Finding the total cost including tax or markup
- Finding the original amount given the result of a percentage increase or decrease
- Finding the original price given the sale price and percent discount
- Comparing discounts

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Following quiz provides Multiple Choice Questions (MCQs) related to **Finding the original price given the sale price and percent discount**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

**Step 1:**

Let original price = *x*

Discount = 20% of *x* = 0.20*x*

**Step 2:**

Price after discount = *x* – 0.20*x* = 0.80*x* = $0.96

Dividing both sides by 0.80

$\frac{0.80x}{0.80} = \frac{0.96}{0.80} =$ $1.20; *x* = $1.20

**Step 3:**

So, original price = $1.20

**Step 1:**

Let original price = *x*

Discount = 15% of *x* = 0.15*x*

**Step 2:**

Price after discount = *x* – 0.15*x* = 0.85*x* = $510

Dividing both sides by 0.85

$\frac{0.85x}{0.85} = \frac{510}{0.85} =$ $600; *x* = $600

**Step 3:**

So, original price = $600

**Step 1:**

Let original price = *x*

Discount = 20% of *x* = 0.20*x*

**Step 2:**

Price after discount = *x* – 0.20*x* = 0.80*x* = $104

Dividing both sides by 0.80

$\frac{0.80x}{0.80} = \frac{104}{0.80} =$ $130; *x* = $130

**Step 3:**

So, original price = $130

**Step 1:**

Let original price = *x*

Discount = 10% of *x* = 0.10*x*

**Step 2:**

Price after discount = *x* – 0.10*x* = 0.90*x* = $1170

Dividing both sides by 0.90

$\frac{0.90x}{0.90} = \frac{1170}{0.90} =$ $1300; *x* = $1300

**Step 3:**

So, original price = $1300

**Step 1:**

Let original price = *x*

Discount = 30% of *x* = 0.30*x*

**Step 2:**

Price after discount = *x* – 0.30*x* = 0.70*x* = $18900

Dividing both sides by 0.70

$\frac{0.70x}{0.70} = \frac{18900}{0.70} =$ $27000;

**Step 3:**

So, original price = *x* = $27000

**Step 1:**

Let original price for 6 shirts = *x*

Discount = 10% of *x* = 0.10*x*

**Step 2:**

Price after discount = *x* – 0.10*x* = 0.90*x* = $189

Dividing both sides by 0.90

$\frac{0.90x}{0.90} = \frac{189}{0.90} =$ $210;

*x* = $210

**Step 3:**

Price of a single shirt = $\frac{210}{6}$ = $35

**Step 1:**

Let original price = *x*

Discount = 10% of *x* = 0.10*x*

**Step 2:**

Price after discount = *x* – 0.10*x* = 0.90*x* = $540

Dividing both sides by 0.90

$\frac{0.90x}{0.90} = \frac{540}{0.90} =$ $600;

**Step 3:**

So, original price = *x* = $600

**Step 1:**

Let original price = *x*

Discount = 20% of *x* = 0.20*x*

**Step 2:**

Price after discount = *x* – 0.20*x* = 0.80*x* = $1920

Dividing both sides by 0.80

$\frac{0.80x}{0.80} = \frac{1920}{0.80} =$ $2400;

**Step 3:**

So, original price = *x* = $2400

**Step 1:**

Let original price = *x*

Discount = 10% of *x* = 0.10*x*

**Step 2:**

Price after discount = *x* – 0.10*x* = 0.90*x* = $2520

Dividing both sides by 0.90

$\frac{0.90x}{0.90} = \frac{2520}{0.90} =$ $2800;

**Step 3:**

So, original price = *x* = $2800

**Step 1:**

Let original price = *x*

Discount = 25% of *x* = 0.25*x*

**Step 2:**

Price after discount = *x* – 0.25*x* = 0.75*x* = $45

Dividing both sides by 0.75

$\frac{0.75x}{0.75} = \frac{45}{0.75} =$ $60;

**Step 3:**

So, original price = *x* = $60

finding_original_price_given_sale_price_and_percent_discount.htm

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