Subjects algebra

Monthly Profit

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Monthly Profit


1. **Problem statement:** Given total monthly profit Rs. 250000, monthly revenue is twice the monthly cost minus Rs. 60000. We need to find monthly revenue and monthly cost. 2. Let monthly cost be $C$. 3. Monthly revenue $R$ is given by $$R = 2C - 60000$$ 4. Profit is revenue minus cost: $$\text{Profit} = R - C$$ 5. Substitute $R$ and profit: $$250000 = (2C - 60000) - C$$ 6. Simplify: $$250000 = 2C - 60000 - C$$ $$250000 = C - 60000$$ 7. Solve for $C$: $$C = 250000 + 60000 = 310000$$ 8. Calculate $R$ using $R = 2C - 60000$: $$R = 2 \times 310000 - 60000 = 620000 - 60000 = 560000$$ **Final answer:** Monthly cost is Rs. 310000 and monthly revenue is Rs. 560000.