Class 8 Maths - ICSE

Profit, Loss and Discount (ICSE)

The chapter Profit, Loss and Discount is a crucial foundation in commercial mathematics for Class 8 ICSE students. It connects classroom concepts to real-world financial transactions, helping students understand how businesses buy, price, and sell goods. You will learn to calculate cost price, selling price, marked price, profit percentage, loss percentage, and successive discounts. In ICSE board and school examinations, this chapter consistently features in both short-answer and multi-step word problem sections, carrying approximately 6 to 8 marks. Mastering these concepts not only ensures high scores in your exams but also equips you with essential financial literacy for everyday life.

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Key Concepts

Cost Price (C.P.) and Selling Price (S.P.)

Cost Price is the amount paid to purchase an article, while Selling Price is the amount for which the article is sold.

Profit and Loss

When the Selling Price is greater than the Cost Price, a profit is made. When the Cost Price is greater than the Selling Price, a loss occurs.

Marked Price (M.P.) and List Price

Marked Price is the label price or printed price of an article on which shopkeepers generally offer discounts.

Discount

Discount is a reduction given on the Marked Price of an article to attract customers or promote sales.

Successive Discounts

Successive discounts refer to a series of discounts given one after another on the reduced price of an item.

Important Formulas

Profit = S.P. - C.P.
Loss = C.P. - S.P.
Profit % = (Profit / C.P.) * 100
Loss % = (Loss / C.P.) * 100
Discount = Marked Price - Selling Price
Discount % = (Discount / Marked Price) * 100
Selling Price = Marked Price - Discount
S.P. = ((100 + Profit %) / 100) * C.P.
S.P. = ((100 - Loss %) / 100) * C.P.

Board Exam Info

In ICSE Class 8 Mathematics, questions from Profit, Loss and Discount usually carry around 6 to 8 marks. Examiners frequently test students through word problems involving multiple transactions, finding the original cost price given the selling price after discount, and calculating equivalent single discounts for successive discount percentages.

Frequently Asked Questions

Is profit percentage always calculated on the Cost Price?

Yes, unless stated otherwise in the problem, both profit percentage and loss percentage are always calculated on the Cost Price (C.P.).

On which price is the discount always calculated?

Discount is always calculated on the Marked Price (M.P.) or List Price of the article, never on the Cost Price.

How do I calculate two successive discounts of 20% and 10%?

You apply the first discount to the marked price to find a new price, and then apply the second discount to that new reduced price. Do not simply add them together to make 30%.

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