On a school picnic, a group of students agrees to pay equally for the use of a full boat and pay Rs 10 each. If there had been 3 more students in the group, each would have paid Rs. 2 less. How many students were there in the group?

Solution:

Let the number of students in the group be x.

Total cost if each student pay Rs.10 = 10x

If 3 more students are there, number of students = x+3

Total cost = 8(x+3)

Total cost to use the boat is constant.

10x = 8(x+3)

2x = 24

=> x = 24/2 = 12

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