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Q.

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

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Solution:
Option(D) is correct

Let Ram under takes a tour of $x$ days.

Then, expenses for each day = \(\dfrac{360}{x}\)

\(\dfrac{360}{x+4}=\dfrac{360}{x}-3\)

$x=20$ and $−24$

Hence, $x$= 20 days.


(2) Comment(s)


Arun
 ()

Ans is $(x+20)(x-24)$

that is $x= -20$, $x= 24$

Positive ans is 24


Shubh
 ()

Can you provide the calculation steps, because $x=20$ satisfies the equation given in the solution.

$\dfrac{360}{x+4}=\dfrac{360}{x}-3$

Whereas $x=24$ does not.