SOLUTION: the ratio of James to John's earning was 4:3. Jame's earning rose to kshs. 7200 after an increase of 10%. calculate the percentage increase in John's earnings given that the sum of

Question 1185944: the ratio of James to John's earning was 4:3. Jame's earning rose to kshs. 7200 after an increase of 10%. calculate the percentage increase in John's earnings given that the sum of their new earnings was kshs. 15600

Answer by CPhill(1987) (Show Source): You can put this solution on YOUR website!
1. **Find James' initial earnings:**
James' earnings increased by 10% to 7200 kshs. Let his initial earnings be 'x'.
x + 0.10x = 7200
1.10x = 7200
x = 7200 / 1.10
x ≈ 6545.45 kshs
2. **Find John's initial earnings:**
The ratio of James' to John's earnings was 4:3.
John's initial earnings = (3/4) * James' initial earnings
John's initial earnings = (3/4) * 6545.45
John's initial earnings ≈ 4909.09 kshs
3. **Find John's new earnings:**
The sum of their new earnings was 15600 kshs.
John's new earnings = Total new earnings - James' new earnings
John's new earnings = 15600 - 7200
John's new earnings = 8400 kshs
4. **Calculate the percentage increase in John'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 John's earnings is approximately $\boxed{71.1\%}$.

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