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Question 74

An oil refinery takes 100 L of crude oil as input and after refining for 1 hour gives certain amount of output oil X litres. This can be sold in the market at a profit of Rs 30/L. If this oil is further refined for $$\frac{1}{2}$$ h it gives oil Y litre. This can be sold at a profit of Rs. 50/L. Output and input ratio at both the stages is 90%. The maximum amount that can't be earned from 1000 L of crude input is

Solution

Case 1 : When we refine oil for 1 hour

Input = 1000 L

=> Output = $$\frac{90}{100}\times1000=900$$ L

Profit = $$30\times900=Rs.$$ $$27,000$$

Case 2 : When we refine oil for 1/2 hour

Input = 900 L

=> Output = $$\frac{90}{100}\times900=810$$ L

Profit = $$50\times810=Rs.$$ $$40,500$$

$$\therefore$$ Clearly, maximum profit earned is Rs. 40,500

=> Ans - (D)

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