camilla1657
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Your cousin renews his apartment lease and pays a new monthly rent. His new rent is calculated by applying a discount of $50 to his original rent and then applying a 10% increase to the discounted amount. What was your cousin's original monthly rent when his new rent is 5% greater?
Your cousin's original rent was $ ________

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mhanifa

Answer:

  • $1100

Step-by-step explanation:

Let the rent be x

Discounted rent

  • x - $50

Increase applied

  • 10%

Final rent:

  • (x - 50) + 10% = (x - 50)*1.1

We know this is equal to x + 5% = 1.05x, comparing now

  • 1.1(x - 50) = 1.05x
  • 1.1x - 1.05x = 55
  • 0.05x = 55
  • x = 55/0.05
  • x = $1100
09pqr4sT

Answer:

[tex]\Large \boxed{\sf 1100}[/tex]

Step-by-step explanation:

Let original rent be x

Discount of $50

[tex]x-50[/tex]

10% increase

[tex](x-50) \times 1.1[/tex]

His new rent is 5% greater than his original rent

[tex](x-50) \times 1.1 = 1.05x[/tex]

Solve for x

[tex]x=1100[/tex]

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