Question
Article ‘P’, if sold at a profit of 15% earns a
profit of Rs. 405. If article ‘P’ is marked 70% above its cost price and then sold after offering two successive discounts of 25% and Rs. x, respectively then what would be the value of ‘x’ such that there is neither profit nor loss in the transaction?Solution
Let the cost price of article ‘P’ = Rs. 100y Then, according to the question, 15y = 405 Or, y = (405/15) = 27 So, cost price of article = Rs. 2700 Marked price of the article = 2700 × 1.7 = 4590 Price after 1st discount of 25% = 4590 × 0.75 = 3442.5 So, further discount be given = 3442.5 – 2700 = Rs. 742.5 Or, x = 742.5
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