Vat Exclusive Price
1. **Stating the problem:** We know the VAT-inclusive price of a pair of chinos is 750. We need to find the price before VAT (VAT-exclusive price).
2. **Understanding VAT:** VAT-inclusive price means the price already includes VAT. If the VAT rate is $r$ (in decimal form), and the VAT-exclusive price is $P$, then the VAT-inclusive price is given by:
$$\text{VAT-inclusive price} = P (1 + r)$$
3. **Assuming standard VAT:** Since the VAT rate is not given, we typically use a common VAT rate (for example, 15% or $r = 0.15$). If you have a specific rate, substitute accordingly.
4. **Calculate VAT-exclusive price:**
Given VAT-inclusive price $= 750$, and VAT rate $r=0.15$:
$$750 = P (1 + 0.15) = P \times 1.15$$
Divide both sides by 1.15:
$$P = \frac{750}{1.15}$$
Evaluate:
$$P \approx 652.17$$
5. **Conclusion:** The VAT-exclusive price of the chinos is approximately 652.17.