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An annual salary of K31 600 had an increase of 8%. What is the new annual salary?

Mathematics

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here are the solutions for questions 5, 6, and 7.

5. An annual salary of K31 600 had an increase of 8%. What is the new annual salary?

  1. Calculate the amount of the increase.

    Increase=8% of K31600\text{Increase} = 8\% \text{ of K}31600 Increase=8100×31600\text{Increase} = \frac{8}{100} \times 31600 Increase=0.08×31600=K2528\text{Increase} = 0.08 \times 31600 = \text{K}2528
  2. Add the increase to the original salary to find the new salary.

    New Salary=Original Salary+Increase\text{New Salary} = \text{Original Salary} + \text{Increase} New Salary=K31600+K2528\text{New Salary} = \text{K}31600 + \text{K}2528 New Salary=K34128\text{New Salary} = \text{K}34128 K34128\boxed{\text{K}34128}

    6. An item sold at K25 is now marked at K17. What is the percentage decrease?

  3. Calculate the amount of the decrease.

    Decrease Amount=Original Price−New Price\text{Decrease Amount} = \text{Original Price} - \text{New Price} Decrease Amount=K25−K17=K8\text{Decrease Amount} = \text{K}25 - \text{K}17 = \text{K}8
  4. Calculate the percentage decrease using the formula

    Decrease AmountOriginal Price×100%\frac{\text{Decrease Amount}}{\text{Original Price}} \times 100\%.

    Percentage Decrease=825×100%\text{Percentage Decrease} = \frac{8}{25} \times 100\% Percentage Decrease=0.32×100%=32%\text{Percentage Decrease} = 0.32 \times 100\% = 32\% 32%\boxed{32\%}

    7. Winel bought twenty bags at K18 and decided to sell them at K25 each. What is Winel's total profit?

  5. Calculate the total cost of buying twenty bags.

    Total Cost=Number of Bags×Cost per Bag\text{Total Cost} = \text{Number of Bags} \times \text{Cost per Bag} Total Cost=20×K18=K360\text{Total Cost} = 20 \times \text{K}18 = \text{K}360
  6. Calculate the total revenue from selling twenty bags.

    Total Revenue=Number of Bags×Selling Price per Bag\text{Total Revenue} = \text{Number of Bags} \times \text{Selling Price per Bag} Total Revenue=20×K25=K500\text{Total Revenue} = 20 \times \text{K}25 = \text{K}500
  7. Calculate the total profit.

    Total Profit=Total Revenue−Total Cost\text{Total Profit} = \text{Total Revenue} - \text{Total Cost} Total Profit=K500−K360=K140\text{Total Profit} = \text{K}500 - \text{K}360 = \text{K}140 K140\boxed{\text{K}140}
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