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 

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