Question

if the ratio of cost price and selling price is equal to 4:3, then determine the loss percent.​

Answer 1

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Answer:

25%

Step-by-step explanation:

Cost Price : Selling Price = 4 : 3

Cost Price/Selling Price = 4/3

3 x Cost Price = 4 x Selling Price

Define x:

Let the cost price be x

Find the selling Price in term of x:

3x = 4 (Selling Price)

Selling Price = 3/4x

Find the loss in term of x:

Loss = Selling Price - Cost Price

Loss = 3/4 x - x = 1/4x

Find the loss percentage:

Loss Percentage = Loss/Cost Price x 100

Loss Percentage = (1/4 x ÷ x) x 100 = 25%

Answer: The loss percentage is 25%

Answer 2

Step-by-step explanation:

$cp = 4x$

$sp = 3x$

$loss = cp - sp \\ loss = 4x - 3x \\ loss = x \: \: \: \: \: \: \: \:$

$loss\% = \frac{loss}{cp} \times 100 \\ loss\% = \frac{x}{4x} \times 100 \\ loss\% = \frac{1}{4} \times 100 \\ loss\% = 25\%$