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Calculation: Let the Cost price of book Rs. x The selling price of a loss of 10%, ⇒ x × 90/100 = Rs. 90x/100 Now, S.P. at a gain of 4%, ⇒ x × 104/100 = Rs. 104x/100 According to the question: Rs. 90x/100 - Rs. 104x/100 = Rs. 140 ⇒ (104x - 90x)/100 =140 ⇒ 14x/100 = 140 ⇒ x = Rs. 1000 ∴ The cost price is Rs. 1000. India’s #1 Learning Platform Start Complete Exam Preparation
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India's Super Teachers for all govt. exams Under One Roof
Let the cost price of the book and the pen be B and P respectively. When the book is sold at 10% loss, selling price of the book = 0.9 B, and loss = 0.1 B When the pen is sold at 20% profit, selling price of the pen = 1.2 P and profit = 0.2 P Given, When the book is sold at 10% loss and the pen at 20% profit, there is no profit and no loss ⇒ 0.1 B = 0.2 P ⇒ B : P = 2 : 1 Now, When the book is sold at 5% profit, selling price of the book = 1.05 B According to the question: 1.05 B + 1.2 P - 0.9 B - 1.2 P = 60 ⇒ 0,15 B = 60 ⇒ B = 400 ⇒ P = Rs.200 (∵ B : P = 2 : 1) ∴ The cost price of the pen = Rs.200 India’s #1 Learning Platform Start Complete Exam Preparation
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The cost price of pen pen was sold at a profit of 10 and book was sold at a loss of 20
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