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A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, 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)
    12

  • b)
    8

  • c)
    16

  • d)
    24

Correct answer is option 'B'. Can you explain this answer?
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A number of friends decided to go on a picnic and planned to spend Rs....
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A number of friends decided to go on a picnic and planned to spend Rs....
To solve this problem, let's assume the total number of friends who were supposed to attend the picnic as 'x'. According to the given information, they planned to spend Rs. 96 on eatables.

1. Initial contribution:
Since all x friends were present initially, each of them would have contributed an equal amount of money. Therefore, the initial contribution per person would be Rs. 96/x.

2. Contribution after 4 friends didn't turn up:
However, 4 friends did not show up for the picnic. As a result, the remaining friends had to contribute an additional Rs. 4 each. This means the new contribution per person would be (96 + 4)/x.

3. Equating the two contributions:
We can set up an equation to represent the two contributions and solve for x.

Initial contribution per person = New contribution per person

96/x = (96 + 4)/x

Cross multiplying, we get:

96x = (96 + 4)x

96x - 4x = 96

92x = 96

x = 96/92

x = 12

Therefore, the total number of friends who attended the picnic is 12, which is the correct answer according to option B.
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A number of friends decided to go on a picnic and planned to spend Rs....
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