The mean income of a group of persons is Rs. 400. Another group of persons has mean income Rs. 48. If the mean income of all the persons in the two groups together is Rs. 430, then find ratio of the number of persons in the group..

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Please find the correct question The mean income of a group of persons is Rs. 400. Another group of persons has mean income Rs. 480.
If the mean income of all the persons in the two groups together is Rs. 430, then find ratio of the number of persons in the group..
$$\begin{gathered} \mathrm{Let} \mathrm{x} \mathrm{be} \mathrm{the} \mathrm{number} \mathrm{of} \mathrm{people} \mathrm{in} \mathrm{group} \mathrm{A} \\ \Rightarrow \mathrm{Sum} \mathrm{of} \mathrm{income} \mathrm{of} \mathrm{people} \mathrm{in} \mathrm{group} \mathrm{A}=400\mathrm{x} \\ \mathrm{and} \mathrm{let} \mathrm{y} \mathrm{be} \mathrm{the} \mathrm{number} \mathrm{of} \mathrm{people} \mathrm{in} \mathrm{group} \mathrm{B} \\ \Rightarrow \mathrm{Sum} \mathrm{of} \mathrm{income} \mathrm{of} \mathrm{people} \mathrm{in} \mathrm{group} \mathrm{B}=480\mathrm{y} \\ \mathrm{A}.\mathrm{T}.\mathrm{Q} \\ 400\mathrm{x}+480\mathrm{y}=430\left(\mathrm{x}+\mathrm{y}\right) \\ 400\mathrm{x}+480\mathrm{y}=430\mathrm{x}+430\mathrm{y} \\ 30\mathrm{x}=50\mathrm{y} \\ \frac{\mathrm{x}}{\mathrm{y}}=\frac{5}{3} \mathrm{is} \mathrm{the} \mathrm{required} \mathrm{ratio} \end{gathered}$$
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