Vijay bought some pens for Rs 540.He lost 2 pens on his way back to the shop. Then ,he sold the rest of the pens at the Rs. 6 more (per pen) than what he paid for them. On the whole transaction,Vijay gained 10% on his outlay. How many pens did Vijay buy?
Answers
MUJHE KUCH BHI SAMAJ NHI AAYA IS LIYE HINDI MAI LIKHA KAR THIK HAI
Concept:
The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x). The roots of the quadratic equation are the values of x that fulfil the equation (α, β).
It is a given that the quadratic equation has two roots. Roots can have either a real or imaginary nature.
Given:
Vijay bought some pens for Rs 540.He lost 2 pens on his way back to the shop. Then ,he sold the rest of the pens at the Rs. 6 more (per pen) than what he paid for them. On the whole transaction,Vijay gained 10% on his outlay
Find:
How many pens did Vijay buy?
Solution:
Let Vijay purchased x no. of pens.
Each pen costs Rs. y
As per questions,
xy=540...............................( eq 1)
(x-2)(y+6)=540+54..........(Eq 2)
xy+6x-2y-12=594
Replacing xy by 540 and solving the equation, we get,
x²-11x-180=0
(x-20) (x+9)=180
x=20 (x=-9 to be ignored because the value of x can't be negative )
Therefore, Vijay purchased 20 pens at the cost of Rs. 27 (Rs. 540/20) each.
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