Answer

Verified

389.4k+ views

**Hint:**Now we are given the selling price and profit percentage. Let us assume the cost price to be x. We know that profit is given by selling price – cost price and the profit percentage is given by $\dfrac{\text{profit}}{\text{cost price}}\times 100$ . Hence we will use these equations to find the value of x and hence we will find the cost price of the dress.

**Complete step by step answer:**

Now we are given that the selling price of the dress is 42.60 and the profit percentage is 20.

We want to find the cost price of the dress. Let us assume that the cost price of the dress is x.

Now we know that the profit is given by cost price – selling price.

Hence profit = x – 42.60.

Now we know that the profit percentage is given by $\dfrac{\text{profit}}{\text{cost price}}\times 100$ .

Now substituting the values in the equation we get, $\dfrac{x-42.60}{x}\times 100=20$

Now multiplying the equation by x we get, $100\left( x-42.60 \right)=20x$

Now dividing the whole equation by 20.

\[\Rightarrow 5\left( x-42.60 \right)=x\]

Opening the bracket we get,

\[\Rightarrow 5x-213=x\]

Let us rearrange the terms to solve the equation.

\[\begin{align}

& \Rightarrow 5x-x=213 \\

& \Rightarrow 4x=213 \\

\end{align}\]

Now dividing the whole equation by 4 we get,

$x=\dfrac{213}{4}=53.25$

Hence the cost price of the dress was $53.25.

**Note:**Now note that if cost price is more than selling price then we say that it was a loss and hence in this case loss will be given cost price – selling price. Also to find the loss percentage we will use the formula $\dfrac{\text{loss}}{\text{cost price}}\times 100$ .

Recently Updated Pages

What number is 20 of 400 class 8 maths CBSE

Which one of the following numbers is completely divisible class 8 maths CBSE

What number is 78 of 50 A 32 B 35 C 36 D 39 E 41 class 8 maths CBSE

How many integers are there between 10 and 2 and how class 8 maths CBSE

The 3 is what percent of 12 class 8 maths CBSE

Find the circumference of the circle having radius class 8 maths CBSE

Trending doubts

One cusec is equal to how many liters class 8 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE