Garrett Mcguire
04/24/2023 · Middle School
Nanette buys 60 notebooks for a total cost of 780 dirhams. Nanette sells \( 70 \% \) of the notebooks for 22 dirhams each. She sells the remaining notebooks for 19 dirhams each. Work out Nanette's percentage profit. Give your answer correct to 3 significant figures.
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Step-by-step Solution
To find Nanette's percentage profit, we need to calculate the total cost of the notebooks she bought, the total selling price of the notebooks she sold, and then find the profit percentage.
Given:
- Nanette buys 60 notebooks for a total cost of 780 dirhams.
- She sells 70% of the notebooks for 22 dirhams each.
- She sells the remaining notebooks for 19 dirhams each.
Let's calculate the total cost of the notebooks she bought:
Total cost = 780 dirhams
Next, we need to find the total selling price of the notebooks she sold. To do this, we need to calculate the number of notebooks she sold at each price and then find the total selling price.
Let's calculate the number of notebooks she sold at 22 dirhams each:
70% of 60 notebooks = 0.7 * 60 = 42 notebooks
The number of notebooks she sold at 19 dirhams each:
60 - 42 = 18 notebooks
Now, we can calculate the total selling price:
Total selling price = (42 * 22) + (18 * 19)
Let's calculate the total selling price:
Total selling price = 924 + 342 = 1266 dirhams
Now, we can find the profit:
Profit = Total selling price - Total cost
Profit = 1266 - 780 = 486 dirhams
Finally, we can find the percentage profit:
Percentage profit = (Profit / Total cost) * 100
Percentage profit = (486 / 780) * 100
Let's calculate the percentage profit:
Percentage profit = 62.308...
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{486}{780}\right)\times 100\)
- step1: Reduce the fraction:
\(\frac{81}{130}\times 100\)
- step2: Reduce the numbers:
\(\frac{81}{13}\times 10\)
- step3: Multiply:
\(\frac{81\times 10}{13}\)
- step4: Multiply:
\(\frac{810}{13}\)
Nanette's percentage profit is approximately 62.308%.
Quick Answer
Nanette's percentage profit is approximately 62.3%.
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