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7. Haniel sold his cow for sh 16,500, making a profit of sh 2,500. Calculate the percentage profit.

8. Muthuri bought a plasma television at sh 67,500 and later sold it, making a [tex]15\%[/tex] profit. At how much did he sell it?



Answer :

GinnyAnswer
### Problem 7: Haniel's Cow

Given:
- Selling price of the cow = sh 16,500
- Profit made = sh 2,500

Steps to Calculate the Cost Price:
1. Calculate the cost price of the cow.
- The cost price (CP) can be derived from the selling price (SP) and profit using the formula:
[tex]\[ \text{Cost Price} = \text{Selling Price} - \text{Profit} \][/tex]

2. Substitute the given values:
[tex]\[ CP = 16500 - 2500 = sh 14000 \][/tex]

Steps to Calculate the Percentage Profit:
1. Use the formula for percentage profit:
[tex]\[ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \][/tex]

2. Substitute the values obtained:
[tex]\[ \text{Percentage Profit} = \left( \frac{2500}{14000} \right) \times 100 \approx 17.86\% \][/tex]

Answer for Problem 7:
Haniel's percentage profit is approximately [tex]\(17.86\%\)[/tex].

### Problem 8: Muthuri's Plasma Television

Given:
- Cost price of the television = sh 67,500
- Percentage profit = 15%

Steps to Calculate the Profit:
1. Use the formula for calculating profit based on percentage profit:
[tex]\[ \text{Profit} = \left( \frac{\text{Percentage Profit}}{100} \right) \times \text{Cost Price} \][/tex]

2. Substitute the given values:
[tex]\[ \text{Profit} = \left( \frac{15}{100} \right) \times 67500 = 10125 \][/tex]

Steps to Calculate the Selling Price:
1. Calculate the selling price by adding the profit to the cost price:
[tex]\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \][/tex]

2. Substitute the values obtained:
[tex]\[ \text{Selling Price} = 67500 + 10125 = 77625 \][/tex]

Answer for Problem 8:
Muthuri sold the plasma television for sh 77,625.

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