Answer:
The rate at which bracelet maked is 27.3
Step-by-step explanation:
Given as :
The number of bracelets sold on Monday = 12
The number of bracelets sold on Tuesday = 22
The Time period of work on Tuesday = 2.5 hours
Now,
The quantity of bracelets after n hours = Initial quantity of bracelets × [tex](1+\frac{Rate}{100})^{n}[/tex]
Or, The number of bracelets sold on Tuesday = number of bracelets sold on Monday × [tex](1+\frac{Rate}{100})^{2.5}[/tex]
Or, 22 = 12 × [tex](1+\frac{Rate}{100})^{2.5}[/tex]
Or, [tex]\frac{22}{12}[/tex] = [tex](1+\frac{Rate}{100})^{2.5}[/tex]
Or, 1.83 = [tex](1+\frac{Rate}{100})^{2.5}[/tex]
Or, [tex](1.83)^{\frac{1}{2.5}}[/tex] = 1 + [tex]\frac{Rate}{100}[/tex]
Or, 1.273 - 1 = [tex]\frac{Rate}{100}[/tex]
Or, 0.273 × 100 = Rate
∴ Rate = 27.3
Hence The rate at which bracelet maked is 27.3 Answer
