Question 68

A person on tour has Rs 360 for his daily expenses. If he extends his tour for 4 days, he hasto cut his daily expensesby Rs3. Find the original duration of the tour.

Solution

Let original duration of tour be $$x$$ days and expense per day = Rs. $$\frac{360}{x}$$

According to ques,

=> $$(x+4)(\frac{360}{x}-3)=360$$

=> $$360-3x+\frac{1440}{x}-12=360$$

=> $$-3x^2+1440-12x=0$$

=> $$x^2+4x-480=0$$

=> $$(x+24)(x-20)=0$$

=> $$x=20,-24$$

$$\because x$$ cannot be negative, thus number of days = 20

=> Ans - (C)

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