11 friends went to a hotel and decided to pay the bill amount

11 friends went to a hotel and decided to pay the bill amount equally. But 10 of them could pay 60 each, as a result 11th has to pay 50 extra than his share. Find the amount paid by him.

Suppose Total bill = Rs. p

∴ 10 × 60 +	p	+ 50 = p
	11

⇒ 600 + 50 +	p	= p
	11

⇒ p -	p	= 650
	11

⇒	11p - p	= 650
	11

⇒ 10p = 650 × 11
⇒ p = 65 × 11 = 715

∴ Amount paid by the eleventh person =	p	+ 50 = Rs.		750	+ 50
	11			11

Hence , Amount paid by the eleventh person = Rs. (65 + 50) = Rs. 115