AJ A piece of cloth castos Res. 35....
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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

JEE/Engineering Exams
Maths
Solution
100
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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 )
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