Sonic Boom obtained a sound system for $2,400 less 30% and 15%. The system was originally priced so that, when sold in a "20% off" sale, the store's overhead and operating profit represent 25% and 15%, respectively, of the sale price. In a Midnight Madness Special, the system was sold at a " $13\frac{1}{3}$ off" special price.
a) What was the original "regular price"?
b) What was the profit or loss at the special price?

Question

Sonic Boom obtained a sound system for $2,400 less 30% and 15%. The system was originally priced so that, when sold in a "20% off" sale, the store's overhead and operating profit represent 25% and 15%, respectively, of the sale price. In a Midnight Madness Special, the system was sold at a "

13\frac{1}{3}

off" special price.
a) What was the original "regular price"?
b) What was the profit or loss at the special price?

Joshua Bleess · Accepted Answer

Final Answer : a) $2945.25b) loss of $35.70

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