Question

If the profit earned on selling an article for ₹ 810 is the same as loss on selling it for ₹ 530, then find the cost price of the article.

Answer 1

Case 1: Profit = Selling price (SP) – Cost price (CP)

Case 2: Loss = Cost price (CP) – Selling price (SP)

Given that profit of case 1 = loss of case 2

∴ P = 810 – CP

L = CP – 530

Since profit (P) = loss (L)

810 – CP = CP – 530

∴ 2CP = 810 + 530 = 1340 

⇒ C.P = 1340/2

∴ CP = 670

Comments

Good and thank you