jackie is a sales executive earning a basic salary of ksh 20000 and a commission of 8 % for the sales in excess of ksh 100000 if in April she earned a total of ksh 48000 in salaries and commissions . determine the amount of sales she made in that and if the total sales in the month of may and june increased by 18 % and then dropped by 25% respectively . calculate jane's commission in the month of may

Let's break down the problem into steps.

### Step 1: Calculate the Sales Jackie made in April

Jackie's total income in April is Ksh 48,000. We know she earns a basic salary of Ksh 20,000 and an 8% commission on sales in excess of Ksh 100,000.

Let the total sales in April be denoted by \( x \).

1. **Basic salary:** Ksh 20,000
2. **Commissionable sales:** Sales in excess of Ksh 100,000 is \( x - 100,000 \)
3. **Commission earned:** \( 8\% \) of the excess sales = \( 0.08 \times (x - 100,000) \)
4. **Total earnings:** Basic salary + Commission

So, her total earnings in April are given by the equation:
\[
48,000 = 20,000 + 0.08 \times (x - 100,000)
\]

Subtract 20,000 from both sides to isolate the commission:
\[
28,000 = 0.08 \times (x - 100,000)
\]

Divide both sides by 0.08 to solve for \( x - 100,000 \):
\[
350,000 = x - 100,000
\]

Add 100,000 to both sides:
\[
x = 450,000
\]

Thus, Jackie made Ksh 450,000 in sales in April.

### Step 2: Calculate Jane's Commission in May

In May, the sales increased by 18%. Therefore, the sales in May would be:
\[
\text{Sales in May} = 450,000 \times 1.18 = 531,000
\]

Jackie's commission in May would be calculated based on the sales in excess of Ksh 100,000:
\[
\text{Excess sales} = 531,000 - 100,000 = 431,000
\]
\[
\text{Commission in May} = 0.08 \times 431,000 = 34,480
\]

So, Jackie's commission in May would be **Ksh 34,480**.

### Summary

1. The amount of sales Jackie made in April was **Ksh 450,000**.
2. Jane's commission in May was **Ksh 34,480**.

Would you like to go into further details about any step or calculations? Here are some related questions to consider:

1. How would Jackie's earnings change if the sales dropped by 10% in June instead of 25%?
2. What would be her total income in May if she also received bonuses for reaching certain sales targets?
3. If her basic salary was increased by 5%, how would this impact her earnings in May?
4. What if her commission rate was increased to 10% for sales exceeding Ksh 200,000? How would that affect her income?
5. How much commission would she earn if the sales increased by 20% in July?

### Tip:
When solving percentage-based problems, it's helpful to first express the relationships as equations and then systematically solve for the unknowns.

Explore how to calculate Jackie's sales and commission from April, including projections for May. Understand the percentage increase and decrease calculations involved. Suitable for advanced high school students and beyond.

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