If the expenditure of gas on burning 6 burners for 6 hours a day for 8 days is 450, then how many burners can be used for 10 days at 5 hours a day for Rs 625

Options

A. 12
B. 16
C. 4
D. 8

Answer

To solve the problem step by step, we will break down the information given and calculate the number of burners that can be used for the specified time and expenditure.

### Step 1: Understand the given information
We know that burning 6 burners for 6 hours a day for 8 days costs Rs 450.

### Step 2: Calculate the total hours of burning
Total hours of burning = Number of burners × Hours per day × Number of days
= 6 burners × 6 hours/day × 8 days
= 288 hours

### Step 3: Calculate the cost per hour per burner
Total cost for 288 hours is Rs 450.
Cost per hour per burner = Total cost / Total hours of burning
= 450 / 288
= Rs 1.5625 per hour per burner

### Step 4: Determine the new scenario
We need to find out how many burners (let's call it X) can be used for 10 days at 5 hours a day for Rs 625.

### Step 5: Calculate the total hours for the new scenario
Total hours of burning in the new scenario = X burners × 5 hours/day × 10 days
= 50X hours

### Step 6: Calculate the total expenditure for the new scenario
The total expenditure for burning X burners for 50 hours is given by:
Total expenditure = Cost per hour per burner × Total hours
= 1.5625 × 50X

### Step 7: Set up the equation
We know that the total expenditure for the new scenario is Rs 625. Therefore, we can set up the equation:
1.5625 × 50X = 625

### Step 8: Solve for X
First, simplify the left side:
78.125X = 625

Now, divide both sides by 78.125:
X = 625 / 78.125
X = 8

### Conclusion
Thus, the number of burners that can be used for 10 days at 5 hours a day for Rs 625 is **8 burners**.

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