Question

Mr. Mehra sends his servant to the market to buy oranges worth * 15. The servant having eaten three oranges on the way, Mr. Mehra pays 25 paise per orange more than the market price. Taking x to be the number of oranges which Mr. Mehra receives, form a quadratic equation in x. hence find the value of x​

Answer 1

Answer:

x=12

Step-by-step explanation:

Let the number of oranges received by Mr. Mehra be x.

The cost of oranges = Rs.

x

15

The number of oranges bought by servant = x + 3

The market price of orange =

x+3

15

The cost paid by Mr. Mehra is 25 paise i.e.,

100

25

more than the market price.

So,

x+3

15

+

100

25

=

x

15

x(x+3)

−45

=

4

−1

x(x+3)=180

x

2

+3x−180=0

Comparing it with general form of quadratic equations ax

2

+bx+c=0

Roots=

2a

−b±

b

2

−4ac

⇒

2×1

−3±

(3)

2

−4×1×(−180)

⇒

2

−3±

729

⇒

2

−3±27

x=12 or x=−15

Since x cannot be negative, x=12

Number of oranges = 12.