Victoria bought items with a combined marked price of $400,000. She was offered a 10% discount on the portion paid in cash and a 2% surcharge on the portion paid via credit card. If Victoria paid a total of $378,000, how much did she pay via credit card, including the surcharge?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. $1,53,000.
Let the amount paid via credit card (before surcharge) = x
0.9(400000 - x) + 1.02x = 378000
⇒ 360000 - 0.9x + 1.02x = 378000
⇒ 0.12x = 18000
⇒ x = 150000
Final credit card payment (with surcharge) = 1.02 × 150000 = 153000