Question
After selling 20 pens, a Shopkeeper earn a profit of
the selling price of 6 books. While selling 20 books, a shopkeeper losses a selling price of 8 pens. The numerical value of the Profit and loss % is equal and the Cost price of pen is half the cost price of the book. Find the ratio of selling price of pen to book?Solution
Let the cost price of a pen be x, then the cost price of a book is 2x And the Selling price of the pen and the book be a and b respectively Now according to the Question, Cost price of 20 pen = 20x and the profit = 6b Profit % = 6b/20x ×100 = 30b/x Similarly, Cost price of 20 books = 40x and the loss = 8a Loss % = 8a/40x × 100 = 20a/x Since the numerical values are equal ∴ 30b/x = 20a/x a/b = 3/2 The required ratio is 3:2
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