Question

kul kitne mitra picnik per gye

Answer 1

$\large{\mathit{HELLO \: \: DEAR,}}$

$\mathit{LET \: \: THE \: \: ORIGINAL \: \: NUMBER \: \: OF \: \: STUDENTS \: \: BE \: \: X} \\ \\ \mathit{BUDGET \: \: OF \: \: EACH \: \: STUDENTS \: \: = \: \: 768/x} \\ \\ \mathit{WHEN \: \: 4 \: \: STUDENTS \: \: FAILED \: \: TO \: \: GO \: \: TO \: \: PICNIC \: \: THEN,}$

$\mathit{NUMBER \: \: OF \: \: STUDENTS \: \: WHO \: \: WENT \: \: TO \: \: THE \: \: PICNIC \: \: = \: \: x - 4} \\ \\ \\ \mathit{NEW \: \: BUDGET \: \: OF \: \: EACH \: \: STUDENTS \: \: = RS768/(x - 4)}$


$\mathit{\frac{768}{(x - 4)} - \frac{768}{x} = 16} \\ \\ \mathit{768[ \frac{1}{(x - 4)} - \frac{1}{x}] = 16} \\ \\ \mathit{\frac{x - (x - 4)}{(x - 4)(x)} = \frac{16}{768}} \\ \\ \mathit{\frac{x - x + 4}{(x^2 - 4x)} = \frac{1}{48}} \\ \\ \mathit{\frac{4}{x^2 - 4x} = \frac{1}{48}} \\ \\ \mathit{4 * 48 = (x^2 - 4x) * 1} \\ \\ \mathit{192 = x^2 - 4x} \\ \\ \mathit{x^2 - 4x - 192 = 0} \\ \\ \mathit{x^2 - 16x + 12x - 192 = 0} \\ \\ \mathit{x(x - 16) + 12(x - 16) = 0} \\ \\ \mathit{(x + 12)(x - 16) = 0} \\ \\ \mathit{x = 16 , x = -12 [ NEGLECT ]}$


$\mathit{HENCE , \: \: NUMBER \: \: OF \: \: STUDENTS \: \: WENT \: \: PICNIC \: \: = \: \: (x - 4) } \\ \\ \\ \mathit{= (16 - 4) = 12}$


$\mathit{OPTION \: \: (B) \: \: IS \: \: CORRECT}$


$\mathit{\underline{ I \: \: HOPE \: \: ITS \: \: HELP \: \: YOU \: \: DEAR, \: \: THANKS}}$