Respuesta :

mhanifa

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:

  • d = 15

Then

  • VAT rate = 15 - 2 = 13%

Otras preguntas