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    Question

    '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.

    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?

    A Rs.1000 Correct Answer Incorrect Answer
    B Rs.9000 Correct Answer Incorrect Answer
    C Rs.4000 Correct Answer Incorrect Answer
    D Rs.5000 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    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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