Problems on CP and SP

Let's quickly revise formulas on profit and loss percentage.

Profit percentage is calculated using profit and cost price as shown.

Loss percentage is calculated using loss and cost price as shown.

Using the discussed formulas, let's calculate CP and SP when loss percent or profit percent are given.

Calculating CP when profit percent is given.

Selling a toy car at ₹540 made a profit of

We know Profit is the difference between selling price and cost price as shown.

Profit percentage is calculated using profit and cost price as shown.

Substituting and simplifying, we get.

The Cost Price of the toy car is as shown.

Calculating CP when loss percent is given.

Consider an article which was sold for ₹540 at a loss of 5%.

We know loss is the difference between cost price and selling price as shown.

Loss percentage is calculated using loss and cost price as shown.

Substituting and simplifying, we get,

Therefore, the cost price of the article is as shown.

Calculating SP when profit percent is given.

Consider an item whose cost is 50₹ and required profit is 12%.

Profit Percentage is calculated as shown.

Profit percentage is calculated using Profit and cost price as shown.

Therefore, the selling price of the article is as shown.

Calculating SP when loss percent is given.

Consider cost of a flower vase given is ₹120 which is sold at a loss of 10%.

We know loss is the difference between cost price and selling price as shown.

Loss percentage is calculated using loss and cost price as shown.

Therefore, the selling price of the flower vase is as shown.

Revision

Profit is the difference between selling price and cost price as shown.

Profit percentage is calculated using profit and cost price as shown.

Loss is the difference between cost price and selling price as shown.

Loss is the difference between selling price and cost price as shown.

Loss is the difference between selling price and cost price as shown

Loss percentage is calculated using loss and cost price as shown.

Loss percentage is calculated using loss and cost price as shown,

Loss percentage is calculated using loss and cost price as shown,

The End