Question

A dealer marks his goods in such a way that after allowing a discount 12.5%,he still makes a profit of 10%, find the marked price of an article which costs him ₹245

Answer 1

let the market price of article be ' x '

cost price of an article = ₹245

since ,he makes profit = 10% ,then

Find the profit:
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profit = 10% of cost price = 10% of 245

= 0.1 × 245 = ₹ 24.5

Find the selling price:
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selling price = cost price + profit

= 245 + 24.5 = ₹ 269.5

Find the discount:
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discount allowed= 12.5 % of market price

discount = 12.5 % of x = ₹ 0.125 x

Find the market price:
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market price - discount = selling price

x - 0.125x = 269.5

0.875x = 269.5

875x ÷ 1000 = 269.5

875x = 269500

x = ₹308

Answer:
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market price of the article = ₹308

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