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

A. Rs. 260

B. Rs. 290

C. Rs. 292.50

D. Rs. 400.50

Show Answer

Answer-C
Solution-

Solution(By Apex Team)


Let the average expenditure be Rs. x Then, $\begin{array}{l}\text{ 9x = 8 × 30 + (x + 20)}\\ \text{⇒ 9x = x + 260}\\ \text{⇒ 8x = 260}\\ \text{⇒ x = 32.50}\\ \text{∴ Total money spent}\\ \text{= Rs. 9x}\\ \text{= Rs. (9 × 32.50)}\\ \text{= Rs. 292.50}\end{array}$

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