Question

During his travel to Dubai, Sam carries 75% of his money in traveler's checks and 25% in cash. At the
airport, he loses his entire cash and spends from his traveler's checks. On returning to India, he has
30% of the traveler's checks, which amounts to Rs. 18.000. What is the total money that he originally
carried?​

Answer 1

Given,

Percentage of money in traveler's check$\[ = 75\% \]$

Percentage of money in cash$\[ = 25\% \]$

Percentage of money left in traveler's checks upon return$\[ = 30\% \]$

Amount of money left in traveler's checks upon return$\[ = 18000\]$

Solution,

Assume that the total amount be $\[100x\]$.

Therefore,

$\[\begin{array}{l} \Rightarrow \frac{{30}}{{100}} \times 25x = 18000\\ \Rightarrow x = \frac{{18000 \times 100}}{{30 \times 25}}\\ \Rightarrow x = 2400\end{array}\]$

So, the total money at the origin is given as

$\[\begin{array}{l} \Rightarrow 2400 \times 100\\ \Rightarrow 240000\end{array}\]$

Hence, the total money that he had originally is rupees $\[240000\].$