Question

a man bought a certain no. of articles for rupees90.if he had paid rupee 1 more for each article,he would have got 1 articls less for the same price.find the price of each article.​

Answer 1

Answer:

price per article= Rs 9

Step-by-step explanation:

Total price=Rs 90

Let price per item=x

no of articles=90/x

If price increased to x+1

then

No of items=90/(x+1)

as per question

90/(x+1)=90/x - 1

90x=90(x+1)-x(x+1)

90x=90x+90-x²-x

x²+x-90=0

x²+ 10x - 9x-90=0

x(x+10) -9(x+10)=0

(x+10)(x-9)=0

x=9,-10

price can not be negative

so x=9

hence price per article= Rs 9