Multiple choice

The profit earned after selling an article for Rs. 1764 is the same as the loss incurred after selling the article for Rs. 1666. What is the cost price of the article?

  1. Rs. 1685

  2. Rs. 1715

  3. Rs. 1785

  4. Rs. 1780

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When profit equals loss, the cost price is exactly halfway between the two selling prices. This is because profit = SP1 - CP and loss = CP - SP2. When they're equal: SP1 - CP = CP - SP2, which gives CP = (SP1 + SP2)/2. Therefore: CP = (1764 + 1666)/2 = 3430/2 = Rs. 1715.