Question

22. Of the total runs made by the Indian team during a match, Sachin scored 44% and Dhoni scored 39%. If Sachin scored 30 runs more than Dhoni, find (i) the score of the Indian team (ii) the runs scored by Sachin.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{total}\mathrm{runs}\mathrm{of}\mathrm{the}\mathrm{Indian}\mathrm{team}=\mathrm{x} \\ \mathrm{Runs}\mathrm{scored}\mathrm{by}\mathrm{Sachin}=44\%\mathrm{of}\mathrm{x}=\frac{44\mathrm{x}}{100} \\ \mathrm{Runs}\mathrm{scored}\mathrm{by}\mathrm{Dhoni}=39\%\mathrm{of}\mathrm{x}=\frac{39\mathrm{x}}{100} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ \frac{44\mathrm{x}}{100}-\frac{39\mathrm{x}}{100}=30 \\ \Rightarrow \frac{5\mathrm{x}}{100}=30 \\ \Rightarrow \mathrm{x}=600 \\ \mathrm{Now},\mathrm{total}\mathrm{runs}\mathrm{scored}\mathrm{by}\mathrm{Indian}\mathrm{team}=600 \\ \mathrm{Runs}\mathrm{scored}\mathrm{by}\mathrm{Sachin}=\frac{44}{100}\times 600=264 \end{gathered}$$