Question
Article ‘P’, if sold at a profit of 30% earns a
profit of Rs. 510. If article ‘P’ is marked 60% above its cost price and then sold after offering two successive discounts of 15% 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, 30y = 510 Or, y = (510/30) = 17 So, cost price of article = Rs. 1700 Marked price of the article = 1700 × 1.6 = 2720 Price after 1st discount of 15% = 2720 × 0.85 = 2312 So, further discount be given = 2312 – 1700 = Rs. 612 Or, x = 612
65 : 31 :: 72 : ? :: 34 : 13
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