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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Q1.A shopkeeper buys a number of pens for Rs80.If he had bought 4 more pens for the same amount , each pen would have cost him Rs 1 less. How many pens did

A shopkeeper buys a number of pens 4 rs. 80. If he had bought 4 more pens for the same amount, each pen would have cost him 1 less. How many pens did he buy? Let the total number of pens bought by a man be x Total cost of pen = Rs 80 / x Cost of each pen = Rs 80 / (x + 4) According to question 80 / (x - 80) / (x + 4) = 1 80 (1/(x - 1)(x + 4) = 1 (x + 4 - x) / x(x + 4) = 1/80 4 / x^2 + 4x = 1/80 80 (4) = 1(x^2 + 4x)... (by cross multiplication) 320 = x^2 + 4x x^2 + 4x - 320 = 0 ...(ta

320 = x^2 + 4x x^2 + 4x - 320 = 0 ...(taking R.H.S. to L.H.S) x^2 + 20x - 16x - 320 = 0 (x^2 + 20x ) - (16x - 320) = 0 x(x + 20) - 16(x + 20) = 0 (x - 16)(x+ 20) = 0 either x - 16 = 0 or x + 20 = 0 x = 16 or x = -20 Since we had assumed the total number of pen to be x here x =16 (x does not equal to -20 as the number of pens is never negative) So the total number pens bought by a man is 16