Profit and Loss

The core formulas

(S.P. = selling price, C.P. = cost price.) When S.P. is less than C.P., the same formula gives a loss instead, a negative "profit".

Worked example: profit percent

An old car bought for ₹25,000 is sold for ₹28,000. Find the profit percent.

Solution: Profit = 28,000 − 25,000 = ₹3,000.

Worked example: working backwards from a loss

A man bought an article for ₹450 and sold it at a 20% loss. Find the loss amount and the selling price.

Solution: Loss = 20% of 450:

So the loss is ₹90 and the selling price is ₹360.

Worked example: finding the cost price

An article is sold for ₹500 at a 25% profit. Find its cost price.

Solution: S.P. is 125% of C.P., so:

The cost price is ₹400.

Worked example: discount

A shopkeeper allows a 12% discount on an article marked at ₹150. What does a customer actually pay?

Solution:

The customer pays ₹132.