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?