Question No. 2 A man bought some pens for 60. If the price of each pen had been 31 less, he would have got 3 pens more, how much did each pen cost him (in 3) originally?
Answers
Answered by
2
Cost of pencils = Total Cost / Cost of 1
Cost of pencils = 60/x
Cost of pencils with Rs 1 less = 60/(x-1)
So, [60/(x-1)] - [60/x] = 3
=> 60x - 60x + 60 = 3x² - 3x
=> 3x² - 3x- 60=0
=> x² - x - 20 = 0
=> x² - 5x + 4x - 20 = 0
=> x(x - 5) + 4(x - 5) = 0
=> (x + 4)(x - 5) = 0
x=5 as x cannot be negative . Thus Rs5 is the cost of each pencil and for Rs60 initially 60÷5 = 12 pencils could have been got.
Similar questions