1. Mr. Ankit is on tour to Siachin and he has Rs. 360 for his expenditure. If he exceeds his tour by 4 days, he must trim down his daily expenditure by Rs.3. For how many days is Mr. Ankit is on tour?
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By: anil on 05 May 2019 02.08 am
Let Mr. Ankit is on tour for $$x$$ days => Original daily expense = $$Rs.$$ $$frac{360}{x}$$ According to ques, => $$(x+4)(frac{360}{x}-3)=360$$ => $$360-3x+frac{1440}{x}-12=360$$
=> $$3x-frac{1440}{x}+12=0 $$ => $$3x^2+12x-1440=0$$ => $$x^2+4x-480=0$$ => $$x^2+24x-20x-480=0$$ => $$x(x+24)-20(x+24)=0$$ => $$(x+24)(x-20)=0$$ => $$x=-24,20$$ $$ecause x$$ cannot be negative, => $$x=20$$ days => Ans - (A)
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=> $$3x-frac{1440}{x}+12=0 $$ => $$3x^2+12x-1440=0$$ => $$x^2+4x-480=0$$ => $$x^2+24x-20x-480=0$$ => $$x(x+24)-20(x+24)=0$$ => $$(x+24)(x-20)=0$$ => $$x=-24,20$$ $$ecause x$$ cannot be negative, => $$x=20$$ days => Ans - (A)