The cost of a washing machine is 40% less than the cost of a TV. If the cost of the
washing machine increases by 64% and that of the TV decreases by 20%, then what is
the change in the total cost of 5 washing machines and 7 TVs?
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A.
Increase by 13%
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B.
Decrease by 4%
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C.
Increase by 5.2%
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D.
Decrease by 5%
Correct Answer:
C. Increase by 5.2%
Explanation:
Assume the price of a television is 100, making the cost of a washing machine 60. The initial total cost for 5 washing machines and 7 televisions is (5 * 60) + (7 * 100) = 1000. Following the price adjustments, the new cost of a washing machine is 98.4 (60 * 1.64) and the television is 80 (100 * 0.8). The new total cost for the items is (5 * 98.4) + (7 * 80) = 1052. This reflects a total increase of 52, which is a 5.2% increase from the original total of 1000.
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