A tank has 400 litre water. If 12 litre 500 ml water is used from it and the remaining water is filled in 25 cans of same capacity, then what is the capacity of each can ?

Question

Accepted Answer

To determine the capacity of each can, we need to follow these steps:

1. **Calculate the Remaining Water in the Tank:**
   - The tank initially contains 400 liters of water.
   - 12 liters 500 milliliters (which is equivalent to 12.5 liters) of water is used.
   - Therefore, the remaining water in the tank is:
     $$
     400 \, \text{liters} - 12.5 \, \text{liters} = 387.5 \, \text{liters}
     $$

2. **Determine the Capacity of Each Can:**
   - The remaining 387.5 liters of water is to be filled into 25 cans of the same capacity.
   - To find the capacity of each can, divide the total remaining water by the number of cans:
     $$
     \frac{387.5 \, \text{liters}}{25} = 15.5 \, \text{liters}
     $$
   - 15.5 liters is equivalent to 15 liters 500 milliliters.

3. **Justification for Option 3:**
   - The calculation shows that each can has a capacity of 15 liters 500 milliliters, which matches Option 3.

4. **Explanation of Why Other Options are Incorrect:**
   - **Option 1 (12 liters 500 ml):** This option is incorrect because dividing 387.5 liters by 25 cans results in 15 liters 500 milliliters, not 12 liters 500 milliliters.
   - **Option 2 (13 liters 500 ml):** This option is incorrect for the same reason; the division does not result in 13 liters 500 milliliters.
   - **Option 4 (14 liters 500 ml):** Similarly, this option is incorrect because the calculated capacity per can is 15 liters 500 milliliters, not 14 liters 500 milliliters.

In conclusion, the correct capacity of each can is 15 liters 500 milliliters, which is why Option 3 is the correct answer.