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?
Let Mr. Ankit is on tour for $$x$$ days
=> Original daily expense = $$Rs.$$ $$\frac{360}{x}$$
According to ques,
=> $$(x+4)(\frac{360}{x}-3)=360$$
=> $$360-3x+\frac{1440}{x}-12=360$$
=> $$3x-\frac{1440}{x}+12=0 $$
=> $$3x^2+12x-1440=0$$
=> $$x^2+4x-480=0$$
=> $$x^2+24x-20x-480=0$$
=> $$x(x+24)-20(x+24)=0$$
=> $$(x+24)(x-20)=0$$
=> $$x=-24,20$$
$$\because x$$ cannot be negative, => $$x=20$$ days
=> Ans - (A)
Create a FREE account and get:
