Mr Rohila left his entire property to his wife, daughter and son and the cook. His son and daughter got half the estate, sharing in the ratio of 3:2. His wife got equal as much as his daughter. If the cook received Rs 9,000, then the entire property was worth:

Solution

Let the entire property be Rs x Part of son and daughter together = 1/2 x Ratio of son and daughter = 3:2 Son get = 3/5×1/2 x Daughter get = 2/5 × 1/2 x Wife get = 2/5 × 1/2 x Cook get = Rs 9,000 ⇒ x - (3x/10+ 2x/10+ 2x/10) = 9,000 ⇒x - ((3x+2x+2x)/10) = 9,000 ⇒3x/10= 9,000 ∴ x = 30,000 ALTERNATE METHOD: Let the entire property = 100% His sons & daughters got 50% in 3:2 means that share of his sons = 30% & that of daughter = 20% So share of wife = 20% Hence remaining share is of cook So 30% of entire property = 9000 Hence entire property = 9000×100/30 = 30,000