Question

Selling price of an article is Rs 540.
If the profit made by the
shopkeeper is 20%.What is the cost
price?
O 680
O 450
O 550
O 860
-​

Answer 1

The Cost price of an article is ₹ 450 .

Given

• Selling Price (SP) = ₹ 540
• Profit = 20%

Explanation

$\\ \circ{\boxed{\tt\green{ Cost \ Price_{(cp)} = \dfrac{ Selling \ Price_{(sp)} \times 100}{ (100+ Profit_{ \% }) } }}}$

Let the Cost Price be x

According to Question,

$\\ \colon\implies{\tt{ x = \dfrac{ 540 \times 100}{ (100+20) _\% } }} \\ \\ \\ \colon\implies{\tt{ x = \dfrac{540 \times 10 \cancel{0} }{12 \cancel{0} _{ \% } } }} \\ \\ \\ \colon\implies{\tt{ x = \dfrac{ \cancel{540 } \times 10}{ \cancel{12} } }} \\ \\ \\ \colon\implies{\tt{ x = 45 \times 10 }} \\ \\ \\ \colon\implies{\boxed{\mathfrak\pink{ x = 450 }}}$

Hence,

• The Cost Price of an Article is ₹ 450

_____________

Option b) is Correct.