Answer:
1)c=4.5%
2)d=25%
3)t=4%
4)Radio-15.38%
Step-by-step explanation:
1. let c be the rate of commission payable.
-Given the amount sold is $6500, and the commission paid is $292.50, the rate of commission is calculated as:
[tex]c=\frac{Commission}{Amount \ Sold}\\\\=\frac{292.50}{6500}\times 100\%\\\\=4.5\%[/tex]
The commission rate is 4.5%
2.Let d b the rate of discount.
-Given the regular price is $34 and the discount amount is $8.50, the discount rate is calculated as;
[tex]d=\frac{Discount}{Regular \ Price}\\\\=\frac{8.5}{34}\times 100\%\\\\=25\%[/tex]
Hence, the discount rate is 25%
3. let t be the tax rate chargeable on any item sold.
-Given that the marked price is $59.75 and the sales tax is $2.39, the tax rate can be calculated as;
[tex]t=\frac{Sales \ Tax}{Marked \ Price}\\\\=\frac{2.39}{59.75}\times 100\%\\\\=4\%[/tex]
Hence, the sales tax rate is 4%
4. #Determine the discount rate in I:
[tex]d_i=\frac{Discount}{Regular \ Price}\\\\=\frac{5}{33}\times 100\%\\\\=15.15\%[/tex]
#Determine the discount rate in II:
[tex]d_ii=\frac{Discount}{Regular \ Price}\\\\=\frac{20}{130}\times 100\%\\\\=15.38\%[/tex]
Hence, the Radio sale has a better discount rate of 15.38% compared to the headset's 15.15%.
