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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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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