Answer:
13%
Step-by-step explanation:
Given:
- MP = 2080
- Discount = d%
- VAT = (d-2)%
- Cost = 1997.84
Apply discount:
- 2080 - d% = 2080*(1 - 0.01d)
Add VAT:
- 2080*(1 - 0.01d) + (d - 2)%
- 2080*(1 - 0.01d) * (1 + (d -2)/100)
- 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
- (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
- 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
- 0.0001d²- 0.0002d - 0.0195 = 0
- d² - 2d + 195 = 0
Solving the quadratic equation we get:
Then
