If something which costs 425 rupees is sold for 440 rupees, what is the profit got? If something costing 235 rupees is to be sold at a profit of 25 rupees, what should be the selling price? If 15 rupees profit was made on selling something for 120 rupees, what was its actual cost?

If we write c for the cost, p for the profit and s for the selling price, in what all ways can we write the relation among them?

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Solution

Cost price of a particular article = Rs 425

Selling price of the article = Rs 440

Profit = Selling price − Cost price

= Rs 440 − Rs 425

= Rs 15

Also, Selling price = Cost price + Profit

If cost price = Rs 235 and profit = Rs 25, then the selling price can be calculated as follows:

Selling price = Rs 235 + Rs 25

= Rs 260

We also have: Cost price = Selling price − Profit

If selling price = Rs 120 and profit = Rs 15, then the cost price can be calculated as follows:

Cost price = Rs 120 − Rs 15

= Rs 105

If the cost price of the article, the selling price of the article and the profit made on the article are denoted by c, s and p respectively, then the relation of between these prices can be written as follows:

p = s − c

⇒ c = s − p

⇒ s = c + p

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