Question
A shopkeeper purchased an item for Rs. ‘p’. He added
Rs. 3,200 to the cost price to determine the marked price. He then applied two successive discounts of 10% and 20% on the marked price before selling the item. If he earned a profit of Rs. 512 from this sale, what was the final selling price of the item.Solution
ATQ,
Marked price of the article = Rs. (x + 3200)
Selling price of the article = 0.90 × 0.80 × (x + 3200) = x + 512
0.72x + 2304 = x + 512
0.28x = 1792
x = 6400
So, the selling price of the article = 6400 + 512 = Rs. 6,912
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