SOLUTION: A teacher's income increased in the ratio 47:40. Find the percentage increase.

Question 1205399: A teacher's income increased in the ratio 47:40. Find the percentage increase.
Answer by Bogz(13) (Show Source): You can put this solution on YOUR website!
Let x = the old income, and i = the increment in the income.
Then the percentage increase is just (i/x)*100%.
From the hypothesis, we obtain (x + i)/x = 47/40.
The left side simplifies to 1 + i/x = 47/40, which results in the equation i/x = 7/40.
Therefore, (i/x)*100% = (7/40)*100% = 17.5%
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