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.
