If x and y are upper limit of median class and lower limit of modal class, respectively in the following distribution, then what is the value of (2x + y)?

Correct option is A

​$$\textbf{Given :} \\\ \, \\\text{Cumulative frequencies : } 3,\ 22,\ 35,\ 47,\ 55,\ 80 \\\ \, \\\textbf{Formula Used :} \\\ \, \\N = \text{Total frequency} \\\ \, \\\text{Median position} = \frac{N}{2} \\\ \, \\\textbf{Solution :} \\\ \, \\N = 80 \\\ \, \\\frac{N}{2} = 40 \\\ \, \\\text{Median class} = 30\!-\!40 \\\ \, \\x = 40 \\\ \, \\\text{Class frequencies:} \\\ \, \\0\!-\!10 = 3 \\\ \, \\10\!-\!20 = 19 \\\ \, \\20\!-\!30 = 13 \\\ \, \\30\!-\!40 = 12 \\\ \, \\40\!-\!50 = 8 \\\ \, \\50\!-\!60 = 25 \\\ \, \\\text{Modal class} = 50\!-\!60 \\\ \, \\y = 50 \\\ \, \\2x + y = 2(40) + 50 = 130 \\\ \, \\\textbf{Final Answer :} \\\ \, \\130$$​​