Problem: a is a working partner and b is a sleeping partner in a business . a puts in 20,000 and b 90,000 . a gets 20 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of b in profit of 11000 .
Rationale: "the amount a gets for managing = 20 % of rs . 11000 = 2200 remaining profit = 11000 – 2200 = 8800 this is to be divided in the ratio 2 : 9 . share of b = 9 / 11 of 8800 = 7200 answer b"
annotated_formula: add(divide(multiply(subtract(11000, divide(multiply(20, 11000), const_100)), add(const_2, const_3)), add(add(const_2, const_3), add(const_2, const_4))), divide(multiply(20, 11000), const_100))