Question

A shopkeeper sold a teddy bear for Rs. 504. If the profit percentage is equal to the cost price, what is the cost price?

• A. Rs. 250
• B. Rs. 280
• C. Rs. 150
• D. Rs. 180
• E. Rs. 200

Answer 1

The correct option is D Rs. 180

Let the cost price of the teddy bear be Rs. x

Profit percentage = x%

According to the question,

x(100 + x)% = 504

⇒ 100x + x² = 50400

⇒ x² + 100x – 50400 = 0

⇒ x² + 280x – 180x – 50400 = 0

⇒ x(x + 280) – 180(x + 280) = 0

⇒ (x + 280)(x – 180) = 0

⇒ x = –280, 180

The cost price of the teddy bear = Rs. 180

Hence, option D is correct.