The budget of a factory is distributed among raw materials, wages, and maintenance in the ratio 4:3:3. During a year, the cost of raw materials rises by 12%, wages by 8%, and maintenance falls by 10%. What is the overall percentage change in the total budget?

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Accepted Answer

1. Take total as 10 parts. The shares are $\frac{4}{10},\ \frac{3}{10},\ \frac{3}{10}$. 
2. Compute weighted change: $\frac{4}{10}	imes12\% + \frac{3}{10}	imes8\% + \frac{3}{10}	imes(-10\%) = 4.8\% + 2.4\% - 3\%$. 
3. Sum = $4.8\% + 2.4\% - 3\% = 4.2\%$. 
4. So the total budget **increases** by $4.2\%$.

FINAL_ANSWER: b

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