A tv with marked price 11,500 is sold at 10% discount ,due to festival season the shopkeeper allows a further discount of 5% ,find the net selling price of the TV

9,775

Step-by-step explanation:

10% + 5%=15%

11,500-15%

=9,775

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4