Question

Let the cost of ( x m ) cost rs 35
and ( y ) be the cost of ( 1 mathrm{m} ) cloth
therefore
( x y=35 )
( y=35 / x )
according to the question ( (x+4)(y-1)=35 )
( (x+4)(35 / x-1)=35 )
( (x times 35 / x)-x+(4 times 35 / x)-4=35 )
( 35-x+140 / x-4=35 )
( -x^{wedge} 2+140-4 x div x=35-35 )
( -x^{wedge} 2+140-4 x=0 )
( x^{wedge} 2+4 x-140=0 )
( x^{wedge} 2+14 x-10 x-140=0 )
( x(x+14)-10(x+14)=0 )
( (x-10)(x+14)=0 )
( x=10 )
( y=35 / 10=3.5 )
therefore 10m cloth cost Rs35
and cost of ( 1 mathrm{m} ) cloth is ( mathrm{Rs} 3.5 )

# AJ A piece of cloth castos Res. 35. If the piece were 4m longer & each meter to cast Ras I leasesea then the total cost would remain unchanged. How long in the piece of the aloth. cas lom (B) 14m (0) 12m (D) 8m

Solution