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A company placed an order for 15 premium machines along with a certain number of standard machines. Each premium machine costs 6 times as much as a standard machine. During delivery the counts of premium and standard machines got swapped, raising the total cost by 62.5%. In the original order, what was the ratio of premium machines to standard machines?

1. 3 : 7
2. 4 : 9
3. 1 : 2
4. 2 : 5

Correct answer: 1 : 2

Solution

Taking standard = 1 and premium = 6 units, original cost = 90 + s and swapped cost = 6s + 15. Setting 6s + 15 = 1.625(90 + s) gives s = 30, so the ratio is 15 : 30 = 1 : 2.

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