# If the list price of the toy. is reduced by 2. A person can buy 2 toys more for rupees 360.find the original price of the toy.

1
by lachndmamar

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by lachndmamar

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therefore, xy = 360

and x=360/y {eg -1}

2nd condition

(x+2)(y-2)=360

xy + 2y - 2x - 4 = 360

2y - 2(360/y) - 4 = 0 { since xy=360 & from eq 1}

- 4y -720 = 0

- 2y - 360 =0

- 20y +18y -360 =0

y(y-20) +18(y-20) = 0

(y+18)(y-20)=0

therefore y= -18 or y = 20

in this case y=20 since price of quantity cannot e in negative

therefore the original price of toy is 20 rupees

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