Subjects algebra

Growth Percentage Aa08Bc

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Growth Percentage Aa08Bc


1. **Problem Statement:** We need to find the growth percentage for product C in 2016 over 2015 such that the revenue from product C in 2016 is at least equal to the combined revenue of products A and B in 2016. 2. **Given Data:** - Revenue in 2015: $A_{2015} = 25$, $B_{2015} = 50$, $C_{2015} = 40$ - Revenue in 2016: $A_{2016} = 60$, $B_{2016} = 70$, $C_{2016} = 50$ 3. **Formula for Growth Percentage:** $$\text{Growth \%} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100$$ 4. **Condition to satisfy:** $$C_{2016} \geq A_{2016} + B_{2016}$$ 5. **Calculate combined revenue of A and B in 2016:** $$A_{2016} + B_{2016} = 60 + 70 = 130$$ 6. **Let the required revenue of C in 2016 be $C'_{2016}$:** $$C'_{2016} = 130$$ 7. **Calculate the required growth percentage for C:** $$\text{Growth \%} = \frac{C'_{2016} - C_{2015}}{C_{2015}} \times 100 = \frac{130 - 40}{40} \times 100 = \frac{90}{40} \times 100 = 225\%$$ **Final Answer:** The growth percentage for product C in 2016 over 2015 should be at least **225%** to ensure its revenue is at least equal to the combined revenue of products A and B in 2016.