Verbal Reasoning - Arithmetic Reasoning - Discussion

For this type of questions it is easy to verify the options.

1st option: The no. of students attended the picnic is = 8 i.e. after deducting 4 members. If the left 4 members participated then total no. of students will be 12 members and each contribution gets Rs. 8 i.e.12*8=96.

With deducting 4 members increases the contribution of Rs. 4 i.e It gets Rs. 12 as contribution to remaining 8 members i.e 8*12=96.

Therefore the option "A" is the correct answer and we may leave with this answer.

If we not get the correct answer we may check further options also.

What kind of formula do you get? Please answer.

I want simple to solve this question.

An unconventional way of solving it, but it's only good if you have multiple choice answers in front of you:

Step 1: 96 (total amount)/8 (Answer A) = $12 (individual contribution).

Step 2: 8 (the # of people attending the picnic) + 4 (who have left) = 12.

Step 3: 96 (total amount)/12 (initial group) = $8.

Step 4: $8 (individual contribution for the group of 12)-$12 (individual contribution for the group of 8) = -4.

Step 5: 12*8 = 96 and 8*12 = 96.

Will you please explain, how it comes x square-4x-96?

4(x-4x) = 96.
4x-16x = 96.
-12x = 96.
x = 8.

Quick solution:

96 = total budget.
4 = contribution per person.

Therefore, total number of person attended the picnic equals to
x-4x = 96/4 = x-4x = 24 and then subtract 4x from x which gives you 3x and therefore, 3x = 24 and x = 24/3 = 8.

8 is the total number of persons that attended. Thank you.

4 that did not turn up x(x). Total of students == total money used, hence.

4x = 96 = 24.

But since each added 4rs to cover up = 4rsx4 (not turned up) = 16.

Subtract. 24 total of students - 16 = 8.

Please explain each step clearly. I cannot understand any step.

Let us suppose that,
The no.of student are x & they decide to go to picnic & spend Rs. 96 in all students there for each student has to pay rupees.

96/x ( total student are x).

But 4 students did not turn up there for now each student has to pay 4 rupees extra.

96/(x-4) = 4+(96/x)

96/(x-4)+96/x = 4

96(x-x+4)/x(x-4) = 4

96 = x^2-4x

x^2-4x-96 = 0
x^2-12x+8x-96 = 0
x(x-12)+8(x-12) = 0
(x-12)(x+8) = 0
x = 12.

No. of students attend the picnic was x-4 = 8.
x-4 = 12-4.
x-4 = 8.