P, Q and R enter into a contract for a piece of the work

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P, Q and R enter into a contract for a piece of the work for ₹ 1100. P and Q together are supposed to do 7/22 of the work. How much does R get?

1. ₹ 750
2. ₹ 350
3. ₹ 4751
4. ₹ 900
5. None of the above

Correct Option: A

Work done by (P + Q) = 7/22
Work done by R = 1 - (7/ 22) = (22-7)/22 = 15/22
∴ (P + Q)'s share : R's share = (7/22) : (15/22) = 7 : 15
R's share = (15/22) x 1100 = 15 x 50 = ₹ 750