X purchased some pens for TK. 120 . If the price per piece of pen was TK. 3 less, he would have received 2 more pens. How many pens did he purchase ?

X purchased some pens for TK. 120 . If the price per piece of pen was TK. 3 less, he would have received 2 more pens. How many pens did he purchase ? ?

Created: 1 week ago | Updated: 1 week ago | Created By:

Imran Ahmed

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Best Answer Explained in Below-:

Let the number of pens be N. Then, price of each pen = 120/N He would get (N + 2) pens if the price of each pen was [120/N - 3]. So, 120 / (N + 2) = (120/N) - 3 or, 120 / (N + 2) = (120 - 3N) / N or, 120N = (120 - 3N) (N + 2) or, 120N = 120N + 120 x 2 - 3N2 - 3N x 2 or, 3N2 + 6N + 120N - 120N - 240 = 0 or, 3N2 + 6N - 240 = 0 or, \(N^{2}\) + 2N - 80 = 0 or, \(N^{2}\) + 10N - 8N - 80 = 0 or, N(N + 10) - 8(N + 10) = 0 or, (N + 10) (N - 8) = 0 or, N - 8 = 0 [N + 10 = / 0] So, N = 8

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