SOLUTION: 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 t

Algebra ->  Finance -> SOLUTION: 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 t      Log On


   

Question 1185886: 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
Answer by CPhill(1987) About Me  (Show Source):
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Here's how to solve this problem:
1. **Find 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. **Find 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. **Find 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. **Calculate the 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%
Therefore, the percentage increase in Muhonja's earnings is approximately $\boxed{71.1\%}$.