SOLUTION: a).the ratio of waweru to muhonja's earning was 4:3. waweru's earning rose to kshs. 7200 after an increase of 10%. calculate the percentage increase in muhonja's earnings given tha

Question 1185900: a).the ratio of waweru to muhonja's earning was 4:3. waweru's earning rose to kshs. 7200 after an increase of 10%. calculate the percentage increase in muhonja's earnings given that the sum of their new earnings was kshs. 15600
b). waweru and muhonja contributed all the new earnings to buy maize at kshs. 1175 per bag.the maize was then sold at kshs. 1762.50 per bag. they shared all the money from the sales in the ratio of contributions. calculate the amount waweru received
Answer by CPhill(1987) (Show Source): You can put this solution on YOUR website!
**a) Percentage Increase in Muhonja's Earnings**
1. **Waweru's Initial Earnings:** Waweru's earnings increased by 10% to 7200 kshs. Let 'x' represent Waweru's initial earnings.
* x + 0.10x = 7200
* 1.10x = 7200
* x = 7200 / 1.10
* x ≈ 6545.45 kshs
2. **Muhonja's Initial Earnings:** The ratio of Waweru's to Muhonja's earnings was 4:3.
* Muhonja's initial earnings = (3/4) * Waweru's initial earnings
* Muhonja's initial earnings = (3/4) * 6545.45
* Muhonja's initial earnings ≈ 4909.09 kshs
3. **Muhonja's New Earnings:** The sum of their new earnings was 15600 kshs.
* Muhonja's new earnings = Total new earnings - Waweru's new earnings
* Muhonja's new earnings = 15600 - 7200
* Muhonja's new earnings = 8400 kshs
4. **Percentage Increase in Muhonja's Earnings:**
* Percentage increase = [(New earnings - Initial earnings) / Initial earnings] * 100
* Percentage increase = [(8400 - 4909.09) / 4909.09] * 100
* Percentage increase ≈ 71.1%
**b) Waweru's Share of Sales Money**
1. **Total Contributed:** Waweru and Muhonja contributed their new earnings, totaling 15600 kshs.
2. **Bags of Maize Purchased:**
* Bags purchased = Total contributed / Cost per bag
* Bags purchased = 15600 / 1175
* Bags purchased = 13.27 bags. Since you can't buy parts of bags, we'll use 13 bags.
3. **Total Revenue from Sales:**
* Total revenue = Bags sold * Selling price per bag
* Total revenue = 13 * 1762.50
* Total revenue = 22912.50 kshs
4. **Total Profit:**
* Profit = Total revenue - Total cost
* Profit = 22912.50 - 15600
* Profit = 7312.50 kshs
5. **Waweru's Share:** Waweru's share is proportional to their contribution.
* Waweru's share = (Waweru's new earnings / Total new earnings) * Total revenue
* Waweru's share = (7200 / 15600) * 22912.50
* Waweru's share ≈ 10575 kshs
**Therefore:**
* **a)** Muhonja's earnings increased by approximately **71.1%**.
* **b)** Waweru received approximately **10575 kshs** from the maize sales.

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