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

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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?

1. ₹105
2. ₹110
3. ₹115
4. ₹120

Correct Option: C

Let total bill would be ₹ P
Each one will to pay = ₹ P/11
10 friends could pay 10 x 60 = ₹ 600
According to question
600 + P/11 + 50 = P
⇒ 650 = P - P/11
⇒ 650 = (11P - P)/11
⇒ 650 x 11 = (11P - P)
⇒ 650 x 11 = 10P
⇒ P = 11 x 65
⇒ P = 715
Amount paid by 11^th friend = 715/11 + 50 = ₹ 115