Answer :

GinnyAnswer
Sure, let's solve this step by step.

### Understanding the Problem
- You have the selling price of an electronic gadget, which is [tex]$1391. - This selling price includes a 7% goods and services tax (GST). Your task is to find the marked price of the gadget before the GST was added. ### Step-by-Step Solution 1. Identify the Selling Price: - The selling price (\( SP \)) of the gadget is $[/tex]1391.

2. Identify the GST Rate:
- The GST rate is [tex]\( 7\% \)[/tex]. In decimal form, this is [tex]\( 0.07 \)[/tex].

3. Understand the Relationship:
- The selling price includes the marked price ([tex]\( MP \)[/tex]) plus the GST.
- If the marked price is [tex]\( MP \)[/tex], then:
[tex]\[ SP = MP + (MP \times \text{GST\%}) \][/tex]
- Using the given values, this can be written as:
[tex]\[ 1391 = MP + (MP \times 0.07) \][/tex]

4. Formulate the Equation:
- We need to isolate [tex]\( MP \)[/tex] in the equation. Combine like terms:
[tex]\[ 1391 = MP (1 + 0.07) \][/tex]

5. Solve for Marked Price ([tex]\( MP \)[/tex]):
- Simplify inside the parenthesis:
[tex]\[ 1391 = MP \times 1.07 \][/tex]
- Divide both sides by 1.07 to solve for [tex]\( MP \)[/tex]:
[tex]\[ MP = \frac{1391}{1.07} \][/tex]

6. Calculate the Marked Price:
- Perform the division:
[tex]\[ MP = \frac{1391}{1.07} = 1300 \][/tex]

### Answer
The marked price of the gadget before the GST was added is $1300.

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