Mr. Bhaskar is on tour and he has ₹ 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by ₹ 3. For how many days is Mr. Bhaskar on tour?
Answer
Answer (as printed):
Explanation
Suppose Mr. Bhaskar is on tour for $x$ days. Then, $$\begin{aligned} \frac{360}{x}-\frac{360}{x+4}=3 & \Leftrightarrow \frac{1}{x}-\frac{1}{x+4}=\frac{1}{120} \Leftrightarrow x(x+4)=4 \times 120=480 \\ & \Leftrightarrow x^{2}+4 x-480=0 \Leftrightarrow(x+24)(x-20)=0 \Leftrightarrow x=20 . \end{aligned}$$ Hence, Mr. Bhaskar is on tour for 20 days.
Explanation as extracted from the printed page; notation may be imperfect.