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**Hint:**We will write the given probability in terms of fraction and then in percentage. Here, 0.85 implies 85% of total shots. Let the total shots be $x$, then we will solve the equation 85% of total shots equal to 340 to get the required answer.

**Complete step-by-step answer:**The probability of hitting a target is 0.85 which is equivalent to $85\% = \dfrac{{85}}{{100}}$.

This implies the person hits 85 targets out of 100 shots.

Let the total number of shots be $x$

Now, according to the question, we have

$\Rightarrow$ \[\dfrac{{85}}{{100}}x = 340\]

Cross multiply the above equation.

$\Rightarrow$ $85x = 34000$

Divide both sides by 85

$\Rightarrow$ $x = \dfrac{{34000}}{{85}} = 400$

Hence, the times the arrow must be shot 400 times in order to hit the target 340 times.

**Thus, option B is correct.**

**Note:**Probability of an event is the ratio of number of favourable outcomes to number of total outcomes. If the probability of an event is $\dfrac{{85}}{{100}}$, this implies that the number of targets hit are 84 when the number of shots are 100.

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