ten people went out for dinner. Nine of them contributed ₹400 each, while the tenth person contributed an amount that was ₹900 more than the average contribution of the entire group. How much did the tenth person contribute?
Explanation
Let the average contribution of the entire group of ten people be A.
1. Set up the equation:
The total contribution is 10⋅A.
The contribution of the first nine people is 9⋅400=3600.
The tenth person contributed A+900.
The total contribution is the sum of these parts:
10⋅A=3600+(A+900)
2. Solve for A:
10⋅A=4500+A
9⋅A=4500
A=500
3. Find the tenth person's contribution:
Therefore, the tenth person contributed (d) ₹1400.