A housing agent makes a commission of {GH₵ }103,500 when he sells a house for {GH₵ }690,000. Calculate the percentage of his commission.

Correct Answer is : 15.0%15.0\%15.0%

Correct Answer is : 15.0%15.0\%15.0%

Test Index

BECE Mathematics 2010 Paper

Question : 14

Total: 40

\text{GH₵ }103,500

\text{GH₵ }690,000

Solution:

Concept:

Commission percentage is the commission amount expressed as a fraction of the selling price, multiplied by

100\%

Explanation:

Commission amount

= \text{GH₵ }103,500

Selling price

= \text{GH₵ }690,000

Percentage commission

= \frac{\text{Commission}}{\text{Selling price}} \times 100\%

Substitute the values:

= \frac{103,500}{690,000} \times 100\%

Simplify the fraction by cancelling the common zeros:

= \frac{1035}{6900} \times 100\%

Now,

6900 \div 69 = 100

and

1035 \div 69 = 15

= \frac{15}{100} \times 100\%

= 15\%

Answer:

The percentage commission is

15.0\%

, which is option A.

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