A number of friends decided to go on a picnic and planned to spends Rs. $96$ on eatables. Four of them did not turn up. As a consequence, the remaining ones had to contribute Rs. $4$ each extra. The number of those who attended the picnic was

8

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16

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12

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24

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Solution

The correct option is B $8$
Let initial number of people who were to attend the party = $x$
then, $\frac{96}{x} + 4 = \frac{96}{x - 4}$
$(96 + 4 x) (x - 4) = 96 x$
$96 x - 96 \times 4 + 4 x^{2} - 16 x = 96 x$
$4 x^{2} - 16 x - 96 \times 4 = 0$
$x^{2} - 4 x - 96 = 0$
$x^{2} - 12 x + 8 x - 96 = 0$
$(x - 12) (x + 8) = 0$
$x = - 8, 12$
$12$ friends were to attend the party and $4$ didn't go.
Thus, total $8$ friends went in the party.

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A number of friends decided to go on a picnic and planned to spends Rs.96 on eatables. Four of them did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was

A number of friends decided to go on a picnic and planned to spends Rs. $96$ on eatables. Four of them did not turn up. As a consequence, the remaining ones had to contribute Rs. $4$ each extra. The number of those who attended the picnic was