Question

Three people named 'W', 'X' and 'Y' together start a business by investing Rs. 4a, Rs. 20,000, and Rs. 5b, respectively. 'W' invested his amount for 10 months, 'X' and 'Y' invested their amount for 2 more months than 'W'. One year after starting the business, the sum of profit shares of 'X' and 'Y' was 35% more than that of 'W' and the share of 'X' was 80% of that of 'Y'. Find the sum of the initial investment of 'W' and 'Y'.