Question

a doll is sold for Rs.220.00.what was the cost of doll if rate of profit was 10%of the cost.

Answer 1

Answer:

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Answer 2

Answer:

Hi there! Here is your answer mate!

The Cost Price of the doll is Rs. 200.

Step-by-step explanation:

Given:

Selling Price = Rs. 220

Profit = 10%

Asked:

Cost Price = ?

Solution:

Let the Cost Price be 'x',

Profit = 10% of x

⇒ $\frac{10}{100}$ × x

⇒ $\frac{x}{10}$

Profit = $\frac{x}{10}$

Selling Price = Cost Price + Profit

⇒ x + $\frac{x}{10}$

⇒ $\frac{11x}{10}$

Selling Price = $\frac{11x}{10}$

Selling Price = Rs. 220

This means,

$\frac{11x}{10} = Rs. 220$

$x = \frac{220}{11}$ × 10

x = Rs. 200

Cost Price = Rs. 200

Verification:

Now we know that:

Cost Price = Rs. 200

Selling Price = Rs. 220

Now we will verify answer to see that answer is correct or not?.

So, for that we will first find Profit and then Profit %.

If the Profit % given in question is same and the the Profit % we will find is same then answer is exactly correct!

Let's begin!

Profit = Selling Price - Cost Price

⇒ 220 - 200

⇒ Rs. 20

Profit = Rs. 20

Profit % =  $\frac{Profit}{Cost Price}$ × 100%

⇒ $\frac{20}{100}$ × 100%

⇒ 20%

Profit % = 20%

Notice that Profit % given in question and the Profit % we just found now is same.

This means the answer is correct!

Therefore, Cost Price = Rs. 200