(a) Madam Kwakyewaa imported a quantity of frozen fish costing GH¢ 400.00. The goods attracted an import duty of 15% of its cost. She also paid a sales tax ...
Question 1 Report
(a) Madam Kwakyewaa imported a quantity of frozen fish costing GH¢ 400.00. The goods attracted an import duty of 15% of its cost. She also paid a sales tax of 10% of the total cost of the goods including the import duty and then sold the goods for GH¢ 660.00. Calculate the percentage profit.
(b) In a school, there are 1000 boys and a number of girls. The 48% of the total number of students that were successful in an examination was made up of 50%of the boys and 40% of the girls. Find the number of girls in the school.
Answer Details
(a) Cost of the fish \(= \text{GH¢}400.00\).
Import duty \(= 15\%\) of 400 \(= 0.15 \times 400 = 60\). Total cost including duty \(= 400 + 60 = 460\).
Sales tax \(= 10\%\) of 460 \(= 46\). Total cost \(= 460 + 46 = 506\).
Selling price \(= 660\), so profit \(= 660 - 506 = 154\).
\[\text{Percentage profit} = \frac{154}{506}\times 100 = 30.4\%\ (\text{to 1 d.p.}).\]
(b) Let the number of girls be \(g\). There are 1000 boys, so the total number of students is \(1000 + g\).
The number that passed is \(48\%\) of the total, and this equals \(50\%\) of the boys plus \(40\%\) of the girls:
\[0.48(1000 + g) = 0.50(1000) + 0.40g.\]
\[480 + 0.48g = 500 + 0.40g \Rightarrow 0.08g = 20 \Rightarrow g = 250.\]
There are \(\mathbf{250}\) girls in the school.
Download The App On Google Playstore
Everything you need to excel in your exams
