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4. A special discount price is often given when a large number of items is purchased (bulk discount). Given that 6 cans normally cost \( \$ 9 \), find the cost of 240 cans if a \( 8 \% \) discount is applied.

Ask by Collins Pena. in Australia
Feb 17,2025

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Answer

The cost of 240 cans after an 8% discount is $331.20.

Solution

First, find the cost per can without the discount. Since 6 cans cost $9, one can costs 9/6 = $1.50. For 240 cans, the total cost without the discount would be 240 × $1.50 = $360. Next, apply the 8% discount by calculating 8% of $360: 0.08 × $360 = $28.80. Subtracting the discount from the original total gives $360 – $28.80 = $331.20. Therefore, the total cost after the discount is $331.20.

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To solve this, let's first determine the cost of one can. If 6 cans cost $9, then the price per can is \( \frac{9}{6} = 1.50 \). For 240 cans, without any discount, the total cost would be \( 240 \times 1.50 = 360 \). Now, applying the 8% discount, calculate the discount amount: \( 360 \times 0.08 = 28.80 \). Thus, the final cost after the discount is \( 360 - 28.80 = 331.20 \). So, the cost of 240 cans after an 8% discount is **$331.20**. Now, let the cans make a cameo in historical economies! Bulk discounts have been a clever trick since ancient trade days when merchants offered better rates to loyal customers who bought in larger quantities—talk about a win-win for keeping both buyers and sellers happy! If you ever face calculations like this again, double-check those percentages! Be careful not to confuse 8% as a total or in your original calculations; always discount from the total after finding out the basic price! It’s an easy slip, but knowing how to navigate these numbers can save some serious cash!

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