Question
Article ‘P’, if sold at a profit of 25% earns a
profit of Rs. 450. If article ‘P’ is marked 50% above its cost price and then sold after offering two successive discounts of 10% 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, 25y = 450 Or, y = (450/25) = 18 So, cost price of article = Rs. 1800 Marked price of the article = 1800 × 1.5 = 2700 Price after 1st discount of 10% = 2700 × 0.9 = 2430 So, further discount be given = 2430 – 1800 = Rs. 630 Or, x = 630
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