Question
Suppose profit at the end of the year is Rs. 537000,
then what will be the difference between profit share of Binod and Chintu is? 'Anuj', 'Binod' and 'Chintu' invested in ratio 3: 5:7. After 4 months 'Binod' added Rs.1000 more in his investment and 'Anuj' withdrew Rs. 800 from his investment. After six months more 'Chintu' added to his investment an amount equal to (1/2) of the investment done by 'Anuj' in first four months and 'Binod' added 4/7 more than the investment done by 'Chintu' in first 10 months and withdrew Rs. 1000 at the same time, whereas 'Anuj' added to his investment an amount that is equal to investment done by 'Binod' in first four months. Ratio of profit of 'chintu' to total profit at the end of year is given as 145:358.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
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