A person sold an article at a loss of 15% to his friend. Had he sold it for Rs 150 more, he would have earned a profit of 15%. At what price did the person sell the article to his friend ?
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Let the cost of the article be x.
If he sold the article at a loss of 15% then SP of the article = x × [85/100] = 85x/100
If he sold the article at a gained of 9%, the SP of the article = x × [109/100] = 109x/100
According to the question
[109x/100] – [(85x)/100] = 30.60
⇒ x = 127.5
CP of the article = Rs. 127.5
SP of the article if he sold at 10% profit = 127.5 × [110/100] = Rs. 140.25
hope it helps you
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