Question
Article ‘P’, if sold at a profit of 30% earns a
profit of Rs. 900. If article ‘P’ is marked 40% above its cost price and then sold after offering two successive discounts of 13% 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. 100 y Then, according to the question, 30y = 900 Or, y = (900/30) = 30 So, cost price of article = Rs. 3000 Marked price of the article = 3000 × 1.4 = 4200 Price after 1st discount of 13% = 4200 × 0.87 = 3654 So, further discount be given = 3654 – 3000 = Rs. 654 Or, x = 654
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