The daily rate for a hotel room that sleeps 4 people is Rs 3600 for one person and Rs x for ach additional person. If three people take room for on day and each pays Rs 2100 for the room, what is the value of x?

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Solution

Hi!

Total rent for one day of three persons = 3 × Rs 2100 = Rs 6300

Rent for one day for one person = Rs 3600

Given, additional cost for one person be Rs x.

∴Cost of 2 additional 2 persons = Rs 2x

Rent for one day for one person + Cost of 2 additional 2 persons = Total rent for one day of three persons

Rs 3600 + Rs 2x = Rs 6300

⇒ 2x = Rs 6300 – Rs 3600

⇒ 2x = Rs 2700

⇒ x = Rs 1350

Thus, the value of x is Rs 1350.

Cheers!

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