Question
Three Partners Chandra, Shekhar and Azad invested in the ratio of 3/2, 2/3, 4/3 in a business. After 3 months Chandra decreased his capital by 50%. If the total profit of Rs. 12690 earned at the end of the year, find what was the Chandra’s Share of profit?
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Multiply Ratios by (2,3,3 LCM) i.e., 6x
Total Capital of Chandra in 1 year = 9x × 3 + 4.5x × 9 = 27x+40.5x = 67.5x Total Capital of Shekhar in 1 year = 4x × 12 = 48x Total Capital of Azad in 1 year = 8x × 12 = 96x
According to the question 67.5 + 48x + 96x = 12690 211.5x = 12690 x = 12690/211.5 = 60 Hence, Share of Chandra = 67.5 × 60 = 4050