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    Question

    Gold, Silver and Bronze invested money in the ratio of

    1/2:1/3:1/4 in a business. After 4 months, Gold doubled his investment and after 6 months, Silver halves his Investment. If the total profit at the end of the year be Rs. 32800 then find the share of each in the profit 
    A 20400, 7200, 5200 Correct Answer Incorrect Answer
    B 20500, 6150, 6150 Correct Answer Incorrect Answer
    C 19600, 6400, 6800 Correct Answer Incorrect Answer
    D 22500, 5150, 5150 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Ratio of Capital invested by Gold, Silver and Bronze = 6 : 4 : 3 Let the Capital invested by Gold, Silver and Bronze = 6x, 4x and 3x respectively Total Capital invested by Gold in 1 year = 6x × 4 + 12x × 8 = 24x + 96x = 120x Total Capital invested by Silver in 1 year = 4x × 6 + 2x × 6 = 24x + 12x = 36x Total Capital invested by Bronze in 1 year = 3x × 12 = 36x Ratio of Profits                        According to the question,  (10x + 3x + 3x) = 32800 16x = 32800 x = 2050 Profit Share of Gold = 2050 × 10 = 20500 Profit Share of Silver = 2050 × 3 = 6150 Profit Share of Bronze = 2050 × 3 = 6150 

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