Question
A Shopkeeper sold an article at 5% loss. If he had sold
it for Rs. 350 more, he would have made 20% profit, find the actual selling price of the article?Solution
Let C.P of the article = Rs. x ∴ Actual S.P = 95 % of x And assumed S.P = 120% of x Since, difference between the two selling prices is Rs. 350 ∴ ( 120x /100) – (95x/ 100) = 350 ⇒ (120x −95x)/ 100 = 350 ⇒ 25x = 35,000 ∴ x = 35000/25 = 1,400 ∴ C.P = Rs. 1,400 ∴ Actual S.P. = 95% of 1,400 = Rs. 1,330
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