Question

Kofi electronics bought a shipment of TV at a net price of $477.36 each, after discount of 15%, 10% and 4%. What is the list price?

Answer 1

Given:

Kofi electronics bought a shipment of the TV at a net price of $477.36 each, after a discount of 15%, 10% and 4%.

To find:

What is the list price?

Solution:

Let "L.P." represent the list price of each T.V.

The net price of each T.V. = $ 477.36

1st Discount = 15%

2nd Discount = 10%

3rd Discount = 4%

We know,

$\boxed{\bold{Net \:sale\:price = L.P. [1 - \frac{D_1}{100} ][1 - \frac{D_2}{100} ][1 - \frac{D_3}{100} ]}}$

Now, using the above formula, we can form the equation as:

$477.36 = L.P. \times [1 - \frac{15}{100} ][1 - \frac{10}{100} ][1 - \frac{4}{100} ]}}$

$\implies 477.36 = L.P. \times [1 - 0.15 ][1 - 0.10 ][1 - 0.04 ]}}$

$\implies 477.36 = L.P. \times 0.85 \times 0.90 \times 0.96$

$\implies 477.36 = L.P. \times 0.7344$

$\implies L.P. = \frac{477.36}{0.7344}$

$\implies L.P. = \ \: 650$

Thus, the list price of each T.V. is → $ 650.

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