Question

A man bought some pens for 60. If the price of each pen had been rs.1 less, he would have
got 3 pens more, how much did each pen cost him (in rs.) originally?​

Answer 1

Answer:

$\blue{\large{let \: number \:of \: pens =x }} \\ \blue{\large{cost \: of \: each \: pen = \frac{60}{x} }} \\ \blue{ \underline{ \mathfrak{\large{According \: to \: the \: question}}}:} \\ \blue{\large{ \frac{60}{x} - 1 = x + 3}} \\ \blue{\large{ \frac{60 - x}{x} = x + 3 }} \\ \blue{\mathfrak{\underline{\large{Cross \: multiply}}}:} \\ \blue{\large{60 - x = {x}^{2} + 3x }} \\ \blue{\large{0 = {x}^{2} + 4x - 60 }} \\ \blue{\large{0 = {x}^{2} + 10x - 6x - 60 }} \\ \blue{\large{0 = x(x + 10) - 6(x + 10)}} \\ \blue{\large{0 = (x - 6)(x + 10) }} \\ \blue{\large{x = 6, \: - 10 }} \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$