Suppose profit at the end of the year is Rs. 537000,

Solution

ATQ, we can say that Let the investment of Anuj, Binod, and chintu is 3a, 5a and 7a. Investment of Anuj = 3a × 4 + (3a – 800) × 6 + (3a – 800 + 5x) × 2 = 46a – 6400 Rs.  Investment of Binod = 5a × 4 + (5a + 1000) × 6 + (5a + 11a) × 2 = 82a + 6000 Rs.  Investment of Chintu = 7a × 10 + (7a + 1.5a) × 2 = 87a Rs.  87a/(46a – 6400 + 82a + 6000 + 87a) = 145/358 3a × 358 = 5 × (215a – 400) 1074a = 1075a – 2000 a = 2000 Profit Ratio, Anuj : Binod : Chintu = (46 × 2000 – 6400) : (82 × 2000 + 6000) : (87 × 2000) Anuj : Binod : Chintu = (920 – 64) : (1640 + 60) : 1740  = 856 : 1700 : 1740  = 214 : 425 : 435 Hence required % will be  (214/1074) × 100  = ATQ, we can say that Let the investment of Anuj, Binod, and chintu is 3a, 5a and 7a. Investment of Anuj = 3a × 4 + (3a – 800) × 6 + (3a – 800 + 5x) × 2 = 46a – 6400 Rs.  Investment of Binod = 5a × 4 + (5a + 1000) × 6 + (5a + 11a) × 2 = 82a + 6000 Rs.  Investment of Chintu = 7a × 10 + (7a + 1.5a) × 2 = 87a Rs.  87a/(46a – 6400 + 82a + 6000 + 87a) = 145/358 3a × 358 = 5 × (215a – 400) 1074a = 1075a – 2000 a = 2000 Profit Ratio, Anuj : Binod : Chintu = (46 × 2000 – 6400) : (82 × 2000 + 6000) : (87 × 2000) Anuj : Binod : Chintu = (920 – 64) : (1640 + 60) : 1740  = 856 : 1700 : 1740  = 214 : 425 : 435 Hence required difference between profit of Binod & Chintu is [537000 × (435 – 425)/1074] = 500 × 10 = Rs.5000