Question 2

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?

Solution

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)

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