Q1. A certain shop allows cashing of cheques, but requires 3% fee for cashing of cheque and 15% worth of shopping. If the cheque is worth K875, (i)-(iv)-SMarks)

$$\text{Shopping worth} = 15\% \times \text{K}875 = \frac{15}{100} \times 875 = \text{K}131.25$$

The shopping is worth K131.25.

b) How much fee is charged for cashing?

$$\text{Cashing fee} = 5\% \times \text{K}875 = \frac{5}{100} \times 875 = \text{K}43.75$$

The fee charged for cashing is K43.75.

c) What is the percentage of cash back?

$$\text{Percentage of cash back} = 100\% - 20\% = 80\%$$

The percentage of cash back is 80%.

d) How much is the cash back?

$$\text{Cash back amount} = \text{K}875 - \text{K}131.25 - \text{K}43.75 = \text{K}700.00$$

The cash back is $\boxed{\text{K}700.00}$.

e) What was the discounted price if 15% shopping was on discount?

Calculate the discounted price if this amount is discounted by 15%.

$$\text{Discounted price} = \text{K}131.25 \times (1 - 0.15) = \text{K}131.25 \times 0.85 = \text{K}111.5625$$

Rounding to two decimal places.
The discounted price is $\boxed{\text{K}111.56}$.

Q2: Ben is a craftsman who sells his carvings at the craft market. He sells a carving at discount of 25% that is worth K245, and sells 1 carving in a week.

a) What is the discounted price?

$$\text{Discounted price} = \text{K}245 - \text{K}61.25 = \text{K}183.75$$

The discounted price is $\boxed{\text{K}183.75}$.

Q3: Jeff makes a commission from selling an item worth K5400.00 and his commission rate is 15%. He also earns K5 per hour and works 40 hour in a week at his main job.

a) What is his commission?

$$\text{Commission} = 15\% \times \text{K}5400 = \frac{15}{100} \times 5400 = \text{K}810.00$$

His commission is K810.00.

b) What is his pay from main job?

$$\text{Main job pay} = \text{K}5/\text{hour} \times 40 \text{ hours} = \text{K}200.00$$

His pay from the main job is K200.00.

c) What is his total earnings in a week?

$$\text{Total weekly earnings} = \text{Commission} + \text{Main job pay} = \text{K}810.00 + \text{K}200.00 = \text{K}1010.00$$

His total earnings in a week are K1010.00.

d) If he sells 2 items every week, what is his fortnightly pay?

$$\text{Fortnightly pay} = 2 \times \text{K}1820.00 = \text{K}3640.00$$

His fortnightly pay is $\boxed{\text{K}3640.00}$.

Q6: How much would be earn in a week if he sells 10 carvings at 25% discount?

$$\text{Weekly earnings} = 10 \times \text{K}183.75 = \text{K}1837.50$$

He would earn $\boxed{\text{K}1837.50}$ in a week.