Question

The selling price of an article is Rs. 25. The value of loss% is the same as that of cost price. Find the cost price of the article.
1. 100
2. 50
3. 150
4. 200

Answer 1

Correct Answer - Option 2 : 50

Given:

SP = Rs. 25

Value of loss% = CP

Formula used:

Loss% = [(CP – SP)/CP] × 100

Where CP = Cost Price, SP = Selling Price

Calculation:

Loss% = [(CP – SP)/CP] × 100

As per given in the question we put 

Loss% = [(CP – SP)/CP] × 100

⇒ CP² = (CP – SP) × 100

⇒ CP² = (CP – 25) × 100

⇒ CP² = 100CP – 2500

⇒ CP² – 100CP + 2500 = 0

⇒ CP² – 50CP – 50CP + 2500 = 0

⇒ CP(CP - 50) – 50(CP – 50) = 0

⇒ (CP – 50)(CP - 50) = 0

⇒ CP = 50

∴ Cost price of the article is Rs. 50.