Question
A shopkeeper priced an article at 75% above its cost
price and offered a 30% discount on it during the sale. Alternatively, if he had applied two consecutive discounts of 20% and 10% instead, he would have earned Rs. 168 more in profit. Determine the cost price of the article.Solution
Let the cost price of the article = Rs. x So the marked price of the article = Rs. 1.75x Original selling price of the article = 1.75x × 0.70 = 1.225x Increased selling price of the article = 1.75x × 0.80 × 0.90 = Rs. 1.26x According to question: 1.26x – 1.225x = 168 0.035x = 168 x = 4800 So the cost price of the article = Rs. 4,800
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