Aptitude Discussion

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 |

**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.**

**Arun**

*()
*

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.

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

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

Positive ans is 24