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An umbrella and a pen are sold at a discount of 8% and 3% respectively . Calculate the overall percentage discount offered on the two commodities , if the cost of the umbrella is four times that of the pen.​

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sqdancefan

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Answer:

  7%

Step-by-step explanation:

The cost of the umbrella is 4/5 of the total cost of the two items. If the base price of the two items is 1, then the discounted price is ...

  (4/5)(1 -8%) + (1/5)(1 -3%) = 0.8·0.92 +0.2·0.97 = 0.93 = 1 - 7%

The overall discount is effectively 7%.

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