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 e

2 thoughts on “During his travel to Dubai, Sam carries 75% of his money in traveler’s checks and 25% in cash. At the<br />airport, he loses his e”

1. Answer:

   Given :-

   • During his travel to Dubai, Sam carries 75% of his money in traveler’s checks and 25% in cash.
   • At the airport, he losses his entire cash and spends from his traveler’s checks.
   • One returning to India, he has 30% of the traveler’s checks, which amounts to Rs 18000.

   To Find :-

   • What is the total money that he originally carried.

   Solution :-

   Let, the total money that he originally carried be Rs x.

   [tex]\longmapsto[/tex] Sam carries 75% of his money in traveler’s checks.

   Then, total money in traveler’s checks :

   [tex] \dashrightarrow \sf 75\% \times x[/tex]

   [tex] \dashrightarrow \sf \dfrac{75}{100} \times x[/tex]

   [tex] \dashrightarrow \sf \dfrac{\cancel{75}x}{\cancel{100}}[/tex]

   [tex] \dashrightarrow \sf\bold{\pink{0.75x}}[/tex]

   Now, according to the question :

   [tex] \implies \sf 30\% \times 0.75x =\: 18000[/tex]

   [tex] \implies \sf \dfrac{30}{100} \times \dfrac{75x}{100} =\: 18000[/tex]

   [tex] \implies \sf \dfrac{2250x}{10000} =\: 18000[/tex]

   By doing cross multiplication we get,

   [tex] \implies \sf 2250x =\: 18000 \times 10000[/tex]

   [tex] \implies \sf 2250x =\: 180000000[/tex]

   [tex] \implies \sf x =\: \dfrac{18000000\cancel{0}}{225\cancel{0}}[/tex]

   [tex] \implies \sf x =\: \dfrac{\cancel{18000000}}{\cancel{225}}[/tex]

   [tex] \implies \sf\bold{\red{x =\: Rs\: 80000}}[/tex]

   [tex]\therefore[/tex] The total amount that he originally carried is Rs 80000.

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2. Answer: Rs. 80,000

   Given that Sam had 75% of his money in traveler’s checks and 25% in cash.

   At the airport, he lost all his cash ( Which means he actually lost 25% of his money)

   On returnig to India, he has 30% of his traveler’s checks left which amounted to Rs. 18000

   Let the total money he had be Rs. x.

   According to the question,

   Money in traveller’s checks:

   • 75% of total money

   ⇒ Initial money in traveller’s checks = 75% of x

   ⇒ Money in Traveler’s checks = 75/100 × x

   ⇒ Money in Traveler’s checks = 0.75x

   Now, On returning to India, He had 30% of his traveler’s checks (30% of 0.75x) left which amounted to Rs. 18000.

   ⇒ 30% of 0.75x = 18000

   ⇒ 30/100 × 0.75x = 18000

   ⇒ 3 × 0.75x = 180000

   ⇒ 0.75x = 60000

   ⇒ x = 80000

   Hence, Sam had originally carried a total money of Rs. 80,000 before going to Dubai.

   Reply