Question

In a match of 50 overs, the team batting second was given a target of 310.They lost the match by 10 runs. The team batting second, i.e. the team which lost, scored one-half of their runs in 30 overs and in next five overs they scored one-half of the remaining runs. Later in the next 8 overs, they scored $\frac{1}{5}$^th of the remaining runs. In last seven overs, they scored the remaining runs. How many runs did they score in the last seven overs?

Answer 1

Total runs scored by the team that lost = 310 - 10 = 300

Total no. of overs played by them = 50

As per question,
In 30 overs, the team scored $=\frac{300}{2}$ = 150 runs
Remaining Score = 300 - 150 = 150
So, 150 runs were scored by this team in remaining 20 overs.
By the given condition
In the next 5 overs $\frac{1}{2}$ of 150 runs
= 75 runs were scored.
$\Rightarrow$ 150 runs - 75 runs = 75 runs are still in balance.
Again in the next 8 overs.
$\frac{1}{5}$ of 75 = 15 runs were scored.
Now. no. of overs left = 20 - (5 + 8)
= 20 - 13
= 7 overs
In seven overs, runs scored will be 75 - 15 = 60 runs