Question
Sita purchased 10 books, 15 diaries, and 20 folders for
Rs. 500, Rs. 1200, and Rs. 1000, respectively, from a seller. By selling each book and each diary, the seller made a profit of βe%β and βf%β, respectively, such that f = 3e. Find the profit earned by the seller on selling all the folders given the condition that the cost price of a diary, a book, and a folder is the same.Solution
According to the question Let the cost price of each book, each diary, and each folder be Rs. βzβ Selling price of each book = (500/10) = Rs. 50 Selling price of each diary = (1200/15) = Rs. 80 According to the question, (50βz)/zΓ100 = eβ¦β¦ (I) Also, (80βz)/zΓ100 = fβ¦β¦ (II) Use the given relationship [f = 3e] Dividing equation (I) by (II), we get 3(50 β z)=80 β z 150 β 3z = 80 β z 150 β 80 = 3z β z 70 = 2z z = (70/2) = 35 Cost Price of All Folders: Cost price of one folder = Rs. 35 Cost price of all 20 folders = Rs. 35 Γ 20 = 700 Calculate the Profit Earned on Selling All Folders: Selling price of all 20 folders = Rs. 1000 Profit = Selling price - Cost price = Rs.1000 β 700 = 300 The profit earned by the seller on selling all the folders is Rs. 300.
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