Question

Mr. Ram is on tour and he has Rs. $360$ for his expenses. If he exceeds his tour by $4$ days, he must cut down daily expenses by Rs. $3$. The number of days of Mr. Ram's tour programme is :

• A. $28$ days
• B. $24$ days
• C. $22$ days
• D. $20$ days

Answer 1

The correct option is D $20$ days

Let Ram under takes a tour of $x$ days
then, expenses for each day $=\frac{360}{x}$
$=\frac{360}{x+4}=\frac{360}{x}-3$
$x=20$ and $x=-24$
As day cannot be negative,
Hence, $x=20$ days.