Question

An article is sold for Rs. 480. if the profit is one - fifth of its cost price, then find the cost price.​

Answer 1

Answer:

The Cost Price is Rs. 400.

Step-by-step explanation:

Given :

Article was sold for = Rs. 480

Profit made = $\dfrac{1}{5}$ of Cost Price

To find :

The Cost Price of the article

Solution :

Let the -

• Cost Price be x
• Profit made = $\dfrac{1}{5}$x

As the Profit and selling price is given, we can find the cost price by using the formula -

★ $\boxed{\sf{Profit=SP-CP}}$

$\sf{\implies} \:\dfrac{1}{5}x = 480 - x \\ \sf{\implies} \:\dfrac{1}{5}x + x = 480 \\ \sf{\implies} \:\dfrac{1x + 5x}{5}= 480 \\ \sf{\implies} \:\dfrac{6x}{5}= 480 \\ \sf{\implies} \:6x= 480 \times 5 \\ \sf{\implies} \:6x= 2400 \\ \sf{\implies} \: x = \frac{2400}{6} \\ \sf{\implies} \: x = 400$

Cost Price = 400

$\therefore$ The Cost Price is Rs. 400.

Answer 2

Answer:

Cost Price = Rs. 400

Step-by-step explanation:

Used formula =

• Profit = SP - CP

Values assumed =

• Cost price = y

For Explanation Refer the Attachment.

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