Old laptop

The sale price of an old laptop is Php.11000. If a 33 1/3% discount rate is given, how much is the sale price of the laptop without the discount? Please show your solution. Php is the Philippine peso.

Correct answer:

p =  7333 ¹⁄₃ = 22000/3 php

Step-by-step explanation:

$$\begin{gathered} a=11000 \\ r=33\frac{1}{3}=33+\frac{1}{3}=\frac{33\cdot 3+1}{3}=\frac{99+1}{3}=\frac{100}{3}\doteq 33.3333 \\ q=1-\frac{r}{100}=1-\frac{\frac{100}{3}}{100}=\frac{2}{3}\doteq 0.6667 \\ p=a\cdot q=11000\cdot \frac{2}{3}=\frac{11000\cdot 2}{3}=\frac{22000}{3}=\frac{22000}{3}\text{php}=7333\frac{1}{3}\text{php}=7333.3333\text{php} \end{gathered}$$

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