a shopkeeper buys an article at a discount of 15% on the printed price.

after charging a sales tax of 5% on the printed price, he sells the article at rs.630. find the profit

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To find the profit, we need to calculate the cost price (CP) first. Let's break down the problem step by step.

1. Let's assume the printed price (PP) of the article is x.

2. The shopkeeper buys the article at a discount of 15% on the printed price. This means the shopkeeper pays only 85% of the printed price.
CP = 85% of PP
= (85/100) * x
= 0.85x

3. The shopkeeper then charges a sales tax of 5% on the printed price. This means the selling price (SP) is the printed price plus 5% of the printed price.
SP = PP + 5% of PP
= PP + (5/100) * PP
= PP + 0.05PP
= 1.05PP

4. Given that the selling price is Rs. 630, we can equate the selling price to the cost price plus the profit.
SP = CP + Profit
630 = 0.85x + Profit

5. Rearranging the equation, we can find the profit.
Profit = 630 - 0.85x

Thus, the profit is given by the equation 630 - 0.85x.