If $$(7\frac{2}{p} \times 3\frac{1}{5}) = 24$$​, then value of p is

Correct option is C

Given
Equation: $$(7\frac{2}{p} × 3\frac{1}{5}) = 24$$​​

Formula Used
Mixed fraction conversion:  $$a\frac{b}{c} = \frac{a × c + b}{c}$$​​

Solution
Convert the mixed fractions into improper fractions:

​$$\frac{7p + 2}{p} × \frac{16}{5} = 24\\ \ \\\frac{7p + 2}{p} = 24 × \frac{5}{16} \\ \ \\\frac{7p + 2}{p} = \frac{3 × 5}{2} \\ \ \\\frac{7p + 2}{p} = \frac{15}{2} \\ \ \\2(7p + 2) = 15p \\14p + 4 = 15p\\15p - 14p = 4\\p = 4$$​​
So the correct answer is (c)