Mr. Chandrabhanu sells a can of oil for ₹180 and incurs a loss of 10%. At what price should he sell the can to make a profit of 15%?

Mr. Chandrabhanu sells a can of oil for ₹180 and incurs a loss of 10%. At what price should he sell the can to make a profit of 15%?

Mr. Chandrabhanu sells a can of oil for ₹180 and incurs a loss of 10%. At what price should he sell the can to make a profit of 15%?

Solution:

1. Determine the Cost Price (CP):
   Since selling at ₹180 results in a 10% loss, the selling price (SP) is 90% of the cost price.
   Let the cost price be CP.

   SP=90% of CP180=0.9×CPCP=1800.9=₹200SP = 90\% \text{ of CP} 180 = 0.9 \times CP CP = \frac{180}{0.9} = ₹200 SP=90% of CP180=0.9×CPCP=0.9180​=₹200

2. Find the Selling Price (SP) for a 15% Profit:
   To make a profit of 15%, the selling price should be:

   $$SP=CP+(15\%\text{ of CP})SP=CP\times (1+0.15)SP=200\times 1.15=₹230$$

Answer:
Mr. Chandrabhanu should sell the can of oil for ₹230 to make a 15% profit.