1. **State the problem:** We are given that after a 20% price decrease, the GST on a computer is 150. We need to find the GST on the computer before the price decrease.
2. **Define variables:** Let the original price of the computer be $P$.
3. **Price after 20% decrease:** The new price after a 20% decrease is $$P_{new} = P - 0.20P = 0.80P$$
4. **GST relationship:** GST is proportional to the price. Let the GST rate be $r$. Then,
$$\text{GST after decrease} = r \times P_{new} = r \times 0.80P = 150$$
5. **Find GST before decrease:** The GST before the decrease is
$$\text{GST before} = r \times P$$
6. **Express $r$ from step 4:**
$$r = \frac{150}{0.80P}$$
7. **Substitute $r$ into GST before:**
$$\text{GST before} = \frac{150}{0.80P} \times P = \frac{150}{0.80}$$
8. **Calculate:**
$$\text{GST before} = \frac{150}{0.80} = 187.5$$
**Final answer:** The GST on the computer before the price decrease was $187.5$.
Gst Price Decrease 3Ed4E9
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