Question

A trader buys X articles for₹9000. If the price of each were₹15 less, one more article could have been bought. Find X.

Answer 1

The answer is X=24.

cost for each book= 9000/x.

now according to the question,

((9000/x)-15)(x+1)=9000

on solving it, the equation comes as:

x^2+x-600=0

thus by solving it, the answer will come out to be 24.

Answer 2

The resulting value of X will be 24.

Step-by-step explanation:

Given:

The price of X articles = Rs. 9000

So, the price of each article = 9000÷X

Now, according to the question,

Total Price of the article if each were Rs.15 less = 9000÷X-15

Making the equation from the given data:

9000÷X-15(X+1)= 9000

9000-15($x^{2}$+x)= 9000x

-15$x^{2}$-15x=9000x-9000

$x^{2}$+x=600

$x^{2}$+x-600=0

Solving the equation :

$x^{2}$+25x-24x-600

x(x+25)-24(x+25)

(x-24)(x+25)=0

x= 24,-25

Result:

The resulting value of X will be 24.

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