a) 5\;:\;2

b) 1\;:\;2

c) 7\;:\;2

d) 3\;:\;2

correct answer is: d) 3\;:\;2

#### Explanation

Here, ratio of the runs scored by Dhoni and Koholi is 4\;:\;3.

And, Koholi scored 42 runs.

Let’s, Dhoni scored ‘x’ runs.

According to the question,

4\;:\;3\;=\;x\;:\;42

\rightarrow\large\frac{4}{3}\normalsize=\large\frac{x}{42}

\rightarrow 3x=\left(4\times42\right) _{[cross multiplication]}

\rightarrow x=\large\left(\frac{4\times42}{3}\right)

\rightarrow x=56

So that, Dhoni scored 56 runs.

Now, If Dhoni scored 7 more run then his scored would be :

\rightarrow\left(56+7\right)=63

So, the ratio of their new run would be :

\rightarrow 63\;:\;42 or 3\;:\;2\;.

\therefore The ratio of their new runs would be 3\;:\;2\;. **Ans:** The runs ratio is 3\;:\;2\;.

###### Other variants of this particular math question are:

**Dhoni and Koholi scored in a ratio of 4 : 3, with Koholi scoring 42 runs. If Dhoni scored 7 more runs, what would be the new ratio of their runs?****If the ratio of runs scored by Dhoni to Koholi is 4 : 3 and Koholi scored 42 runs, what will be the new ratio of their runs if Dhoni scores 7 more runs?****The runs scored by Dhoni and Koholi are in the ratio 4 : 3, with Koholi scoring 42 runs. If Dhoni’s runs increase by 7, what will be the new ratio of their runs?**