Question

1- A furniture store has a clearance sale if a sofa costing %1450 is marked down to $980, find:

A-The loss made on the sale

B-The lost as a percentage of the cost price

Answer 1

$\tt{Solution \: \: (A) :}$

Cost of a sofa = $ 1450

The amount at which the cost of the sofa was lowered = $980

We know that :-

$Loss = CP - SP$

Which means, the loss made when the sofa was sold :-

$= 1450 - 980$

$=\bold{ \ \: 470}$

Thus, the loss faced = $470

Therefore, the loss made on the sale = $ 470

$\tt{Solution \: \: (B) :}$

Cost of a sofa = $1450

Amount by which the sofa's price was lowered = $980

The loss as a percentage of the cost price :-

Let x be the loss as a percentage of the cost price.

Which means :-

$= x \: \% \: of \: 1450 = 470$

$= \frac{x}{100} \times 1450 = 470$

$= \frac{1450x}{100} = 470$

$= 1450x = 470 \times 100$

$= 1450x = 47000$

$= x = \frac{47000}{1450}$

$= x =\bold{32.41 \: \% }$

Thus, the loss as a percentage of the cost price = 32.41%

Therefore, the loss made as a percentage of the cost price = 32.41%