Out of 9 persons, 8 persons spent Tk. 30 each for their meals. The ninth one spent Tk. 20 more than the average expenditure of all the nine. The total money spent by all of them was-

Question: Out of 9 persons, 8 persons spent Tk. 30 each for their meals. The ninth one spent Tk. 20 more than the average expenditure of all the nine. The total money spent by all of them was-

Solution:
Let, the average expenditure be Tk. x.

ATQ,
9x = (8 × 30) + (x + 20)
⇒ 9x = 240 + x + 20
⇒ 9x - x = 260
⇒ 8x = 260
∴ x = 32.5

Total money spent = 9x = 9 × 32.5
= Tk. 292.50