a refigerator was sold $890. this price included a 30% mark-up on the cost price. calculate the cost price

2 answers:

8 0

Cost price is $684.62

Given:
Sales price = $890
Mark-up on cost price = 30%
Cost Price = ?

The sales price includes the 30% mark-up on cost price. This means that the cost price is the 100% and the Sales price is 130% of the cost price. To get the cost price, we need to divide the sales price by its percentage.

Sales price : 130% $890
Cost price 100%
Mark-up on cost 30%

890 ÷ 130% = 684.62

to check:
684.62 * 30% = 205.39
684.62 + 205.38 = 890

kobusy [5.1K]4 years ago

3 0

If you would like to calculate the cost price, you can do this using the following steps:

100% + 30% = 130%

130% of x is $890
130% * x = 890
130/100 * x = 890 /*100/130
x = 890 * 100 / 130
x = $684.62

Result: The cost price was $684.62.

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The cost of a circular table is directly proportional to the square of the radius. A circular table with a radius of 50cm costs

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Answer:

£135 is the correct answer.

Step-by-step explanation:

Let C be the cost of table.

And let R be the radius of table.

Cost of table is directly proportional to square of radius.

As per question statement:

$C\propto R^{2}$ or

$C=a\times R^2 ....... (1)$

where $a$ is the constant to remove the $\propto sign$ .

It is given that

$C_1 =$ £60 and $R_1 = 50\ cm$

$C_2 = ?$ when $R_2= 75\ cm$

Putting the values of $C_1$ and $R_1$ in equation (1):

$60=a \times 50^2 ....... (2)$

Putting the values of $C_2$ and $R_2$ in equation (1):

$C_2=a \times 75^2 ....... (3)$

Dividing equation (2) by (3):

$\dfrac{60}{C_2}= \dfrac{a \times 50^2}{a \times 75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{50^2}{75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{2^2}{3^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{4}{9}\\\Rightarrow C_2 = 15 \times 9 \\\Rightarrow C_2 = 135$