A person on tour has Rs.360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his

also solve dis question also....

From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, prove that DPAB is equilateral.

10q.. :)

A person on tour has Rs.360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his expenses by
INCOMPLETE INFORMATION.
From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, prove that PAB is equilateral.
OP = 2R and OA = OB = R whence sin APO = sin BPO = R/2R = 1/2 = sin 30 whence angle APB = 60
also tangents PA = PB hence angles PAB = PBA = [180 -- APB] / 2 = m(180 -- 60)/2 = 60 each
triangle PAB is equilateral. QED.

Let the no of days be x

360/ x - 360 / ( x+4) = 3

360 ( x+4) - 360x = 3x( x+4)

1440 = 3x^2 +12x

3x^2 + 12x -1440 = 0

x^2 + 4x - 480 = 0
( x- 24) ( x+20) = 0

x = 24 days

ANSWER 20 days
check
360/20 = Rs 18
360/24 = Rs 15

Both the questions are incomplete

He has to extend how long he prays for his immortal soul.
Give your faith back to God, take it back from science.