Question

Find the net decimal equivalent for a special at a nail salon if the salon is offering aseries of four discounts: 35%, 20%, 15%, and 10%.Hint: NDE =1- Discount as a decimal)= (1-Discount as a decimal > (1-Discount as a decimal)x (1- Discount as a decimal)0.3978C0.60220.001050.99895

Answer 1

Given:

Discount 1, d1=35%

Discount 2, d2=20%.

Discount 3, d3=15%.

Discount 4, d4=10%.

The net decimal equaivalent can be calculated as,

$\text{NDE}=(1-\frac{d_1}{100})\times(1-\frac{d_2}{100})\times(1-\frac{d_3}{100})\times(1-\frac{d_4}{100})$$\begin{gathered} \text{NDE}=(1-\frac{35_{}}{100})\times(1-\frac{20_{}}{100})\times(1-\frac{15_{}}{100})\times(1-\frac{10_{}}{100}) \\ =(1-0.35)\times(1-0.2)\times(1-0.15)\times(1-.1) \\ =0.65\times0.8\times0.85\times0.9 \\ =0.3978 \end{gathered}$

Therefore, the net decimal equaivalent of discount is 0.3978.