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Mr. Okove's annual salary is GH¢ 42,000.00. If 40% of his annual income goes to his children's school fees and 10% goes for rent, calculate i. cost of school fees. ii. Cost of rent. iii. balance remaining after 10% tithe deduction.

Mathematics

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3 parts
i

GH¢ 16,800.00\text{GH¢ } 16,800.00

ii

GH¢ 4,200.00\text{GH¢ } 4,200.00

iii

GH¢ 18,900.00\text{GH¢ } 18,900.00

Step-by-step solution

6 steps

Mr. Okue's annual salary is GH¢ 42,000.00.

Part i· 1 step

Cost of school fees.

  1. Calculate 40% of the annual salary for school fees.

    School fees=40%×GH¢ 42,000\text{School fees} = 40\% \times \text{GH¢ } 42,000 School fees=40100×42,000\text{School fees} = \frac{40}{100} \times 42,000 School fees=0.40×42,000=GH¢ 16,800\text{School fees} = 0.40 \times 42,000 = \text{GH¢ } 16,800

    The cost of school fees is GH¢ 16,800.00\boxed{\text{GH¢ } 16,800.00}.

Part ii

GH¢ 4,200.00\text{GH¢ } 4,200.00

Cost of rent.

  1. Calculate 10% of the annual salary for rent.

    Rent=10%×GH¢ 42,000\text{Rent} = 10\% \times \text{GH¢ } 42,000 Rent=10100×42,000\text{Rent} = \frac{10}{100} \times 42,000 Rent=0.10×42,000=GH¢ 4,200\text{Rent} = 0.10 \times 42,000 = \text{GH¢ } 4,200

    The cost of rent is GH¢ 4,200.00\boxed{\text{GH¢ } 4,200.00}.

Part iii

GH¢ 18,900.00\text{GH¢ } 18,900.00

Balance remaining after 10% tithe deduction.

  1. Calculate the total amount spent on school fees and rent.

    Total spent=School fees+Rent\text{Total spent} = \text{School fees} + \text{Rent} Total spent=GH¢ 16,800+GH¢ 4,200=GH¢ 21,000\text{Total spent} = \text{GH¢ } 16,800 + \text{GH¢ } 4,200 = \text{GH¢ } 21,000

  2. Calculate the remaining income after school fees and rent.

    Remaining income before tithe=Annual salary−Total spent\text{Remaining income before tithe} = \text{Annual salary} - \text{Total spent} Remaining income before tithe=GH¢ 42,000−GH¢ 21,000=GH¢ 21,000\text{Remaining income before tithe} = \text{GH¢ } 42,000 - \text{GH¢ } 21,000 = \text{GH¢ } 21,000

  3. Calculate the 10% tithe deduction from the remaining income.

    Tithe deduction=10%×GH¢ 21,000\text{Tithe deduction} = 10\% \times \text{GH¢ } 21,000 Tithe deduction=10100×21,000\text{Tithe deduction} = \frac{10}{100} \times 21,000 Tithe deduction=0.10×21,000=GH¢ 2,100\text{Tithe deduction} = 0.10 \times 21,000 = \text{GH¢ } 2,100

  4. Calculate the final balance after the tithe deduction.

    Final balance=Remaining income before tithe−Tithe deduction\text{Final balance} = \text{Remaining income before tithe} - \text{Tithe deduction} Final balance=GH¢ 21,000−GH¢ 2,100=GH¢ 18,900\text{Final balance} = \text{GH¢ } 21,000 - \text{GH¢ } 2,100 = \text{GH¢ } 18,900

    The balance remaining after the 10% tithe deduction is GH¢ 18,900.00\boxed{\text{GH¢ } 18,900.00}.

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