Sure, let's solve this step by step.
### Understanding the Problem
- You have the selling price of an electronic gadget, which is \($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 $\)1391.
2. Identify the GST Rate:
- The GST rate is \(\( 7\% \)\). In decimal form, this is \(\( 0.07 \)\).
3. Understand the Relationship:
- The selling price includes the marked price (\(\( MP \)\)) plus the GST.
- If the marked price is \(\( MP \)\), then:
\(\[
SP = MP + (MP \times \text{GST\%})
\]\)
- Using the given values, this can be written as:
\(\[
1391 = MP + (MP \times 0.07)
\]\)
4. Formulate the Equation:
- We need to isolate \(\( MP \)\) in the equation. Combine like terms:
\(\[
1391 = MP (1 + 0.07)
\]\)
5. Solve for Marked Price (\(\( MP \)\)):
- Simplify inside the parenthesis:
\(\[
1391 = MP \times 1.07
\]\)
- Divide both sides by 1.07 to solve for \(\( MP \)\):
\(\[
MP = \frac{1391}{1.07}
\]\)
6. Calculate the Marked Price:
- Perform the division:
\(\[
MP = \frac{1391}{1.07} = 1300
\]\)
### Answer
The marked price of the gadget before the GST was added is $1300.
