A company placed an order for 20 high-end laptops and some quantity of…

2025

A company placed an order for 20 high-end laptops and some quantity of standard desktops. The price of a high-end laptop was 5 times that of a standard desktop. Due to a mistake, the number of laptops and desktops was interchanged in the delivery. This caused the total bill to increase by 80%. What was the ratio of the number of high-end laptops to standard desktops in the original order?

  1. A.

    1:2

  2. B.

    2:1

  3. C.

    5:2

  4. D.

    2:5

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Correct answer: D

Let the desktop price be d, so laptop price is 5d. Original bill = 20 x 5d + xd = (100 + x)d. Interchanged bill = 5xd + 20d = (5x + 20)d. Since the bill increased by 80%, 5x + 20 = 1.8(100 + x), giving x = 50. The original laptop:desktop ratio is 20:50 = 2:5.

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