24 L 650 mL of milk is filled in 29 bottles each of same size. The quantity of milk in 15 such bottles is

The correct option/answer is 12 L 750 mL.

To find the quantity of milk in 15 bottles, we can use the unitary method. This involves first finding the quantity of milk in a single bottle and then multiplying that quantity by 15.

Step 1: Convert the total quantity of milk into a single unit (milliliters).
We are given that the total quantity of milk is 24 L 650 mL.
Since 1 liter (L) = 1000 milliliters (mL):
$24L=24\times 1000mL=24000mL$
Now, add the remaining 650 mL:
$\text{Total milk}=24000mL+650mL=24650mL$

Step 2: Find the quantity of milk in one bottle.
The total quantity of milk (24650 mL) is filled equally into 29 bottles.
$\text{Quantity in 1 bottle}=\frac{24650}{29}mL$
Performing the division:
$24650÷29=850mL$
So, each bottle contains 850 mL of milk.

Step 3: Find the quantity of milk in 15 bottles.
To find the milk in 15 bottles, multiply the capacity of one bottle by 15:
$\text{Quantity in 15 bottles}=850mL\times 15$
$850\times 15=12750mL$

Step 4: Convert the result back into liters and milliliters.
To convert 12750 mL back into liters and milliliters, we divide by 1000:
$12750mL=12000mL+750mL$
$12750mL=12L750mL$

Thus, the quantity of milk in 15 such bottles is 12 L 750 mL.