Let's take it that Frances joined the business n months after Abiola started it.

Abiola invested $1,250 for 12 months for the same profit as Frances who invested $1875 for n months.

Since the profit are shared equally, then Abiola's contribution is the same as Frances' contribution.

Contribution = Amount invested x Number of months in the business

Abiola's contribution = $1,250 x 12

Number of months that Frances was in the business = 12 - n

Frances' contribution = $1875 x (12 - n)

1250 x 12 = 1875 x (12 - n)

Divide both sides by 1875

12 - n = $\frac{\mathrm{1250\; x\; 12}}{1875}$

12 - n = 8

12 - 8 = n

n = 4 months

∴ Frances joined the business 4 months after Abiola started.

100% represents the cost price.

Selling Price% = Cost Price% + Profit%

Profit% = 22.5%

Selling Price% = 100% + 22.5% = 122.5%

Selling Price = GH₵ 58,000.00

If 122.5% = GH₵ 58,000.00

100% = $\frac{\mathrm{GH₵\; 58000\; x\; 100\%}}{\mathrm{122.5\%}}$ = GH₵ 47346.94

Cost Price = GH₵ 47,346.94

Profit = Selling Price - Cost Price

Profit if the car had been sold at GH₵ 61,200.00 = GH₵ 61,200.00 - GH₵ 47,346.94 = GH₵ 13853.06

If GH₵ 47346.94 = 100%

GH₵ 13853.06 = $\frac{\mathrm{100\%\; x\; GH₵\; 13853.06}}{\mathrm{GH₵\; 47346.94}}$ = 29.2586%

Percentage profit ≈ 29.26% (two decimal places).

Cost for 34.5 kg of X = 34.5 x D70 = D2415.00

Cost for 26 kg of Y = 26 x D80 = D2080.00

Total cost of the mixture = D2415.00 + D2080.00 = D4495.00

Cost Price = D4495.00

Total weight of the mixture = 34.5 kg + 26 kg = 60.5 kg

Selling price of the mixture = 60.5 x D85.0 = D5142.50

Profit = Selling price - Cost Price

Profit = D5142.50 - D4495.00

Profit = D647.50

Percentage profit = $\frac{\mathrm{D647.50}}{\mathrm{D4495.00}}$ x 100% = 14.4%