Video: Comparing Percentages of Given Numbers in a Real-World Context

Two shops have special offers available to buy the same t-shirt. The first one is a discount of 17% on a normal selling price of 488 LE and the second one is a 13% discount on a normal selling price of 562 LE. Which offer will mean you pay the least for the t-shirt?

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Video Transcript

Two shops have special offers available to buy the same t-shirt. The first one is a discount of 17 percent on a normal selling price of 488 Egyptian pounds and the second one is a 13 percent discount on a normal selling price of 562 Egyptian pounds. Which offer will mean you pay the least for the t-shirt?

The first offer was a 17 percent discount off 488. And the second offer was a 13 percent discount off 562. As there is a larger discount on offer one and the original price was lower, we can be guaranteed that offer one will be the best deal.

However, for the purpose of this question, we will go through a step-by-step process to prove this. There’s a 17 percent discount on offer one. 100 percent minus 17 percent is equal to 83 percent. Therefore, the discount price will be 83 percent of the original value.

We therefore need to calculate 83 percent of 488 to calculate the discount price. The word “of” in maths usually means multiply or times. And 83 percent is the same as 0.83. We therefore need to multiply 0.83 by 488. 0.83 multiplied by 488 is 405.04. Therefore, the discount price with offer one is 405.04 Egyptian pounds.

We can now use the same method for offer two. 100 percent minus 13 percent is equal to 87 percent. Therefore, the discount price will be 87 percent of 562. To calculate this, we need to multiply 0.87 by 562. This is equal to 488.94. Therefore, the discount price with offer two is 488.94 Egyptian pounds. As expected, offer one has the lowest price.

We can therefore say that offer one will mean you pay the least for the t-shirt. It is 83.90 Egyptian pounds cheaper than offer two.