A trader purchased some pens for Tk. 150. If the price of each pen was Tk. 5 less, he would have got 5 more pens. How many pens did he buy?
Created: 6 years ago |
Updated: 2 years ago
best des
Let the number of pens bought by him be P.
Then, the price of each pen = 150/P
According to the question,
150/(P + 5) = (150/P) - 5
or, (P + 5) x {(150/P) - 5} = 150
or, 150 - 5P + 750/P - 25 = 150
or, (750 - 5P2)/P = 25
or, 750 - 5P2 = 25P
or, 5P2 + 25P - 750 = 0
or, P2 + 5P - 150 = 0
or, P2 + 15P - 10P - 150 = 0
or, (P + 15)(P - 10) = 0
So, P = 10.
Md Azizur Rahman
Founder of Satt
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