Question

container contains 60 kg of milk. From this container 6kg of milk was taken out and replaced with water. This process was repeated further two times. The amount of milk left in the container is

A) 34.24 kg

B) 39.64 kg

C) 43.74 kg

D) 47.9 kg

Answer 1

The amount of milk left in the container is 43.74 kg.

Step-by-step explanation:

Container contains the amount of milk = 60 kg.

amount of milk was taken out and replaced with water = 6 kg.

This process was repeated further 2 times.

$\text{amount left}=\text{Initial quantity}(1-\frac{\text{amount taken out}}{\text{initial quantity}})^n$

where initial quantity = 60 kg.

                              n   = 3 times

Now put the value into the formula :

    = $60(1-\frac{6}{60})^3$

    = 60(1 - 0.1)³

    = 60 (0.9)³

    = 60 × 0.729

    = 43.74 Kg.

The amount of milk left in the container is 43.74 kg.

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