Three Partners Chintu, Pintu and Bittoo invested in the ratio of   2/3, 3/2, 3/4 in a business. After 4 months Chintu increased his capital by 25%. If the total profit of Rs. 6540 earned at the end of the year, find what was the Chintu’s Share of profit?

Solution

Multiply Ratios by (3, 2, 4 LCM) i.e., 12x Capital Ratio -        2/3    ×12x       :      3/2  ×12x      :          3/4× 12x                               8x          :            18x        :         9x Total Capital of Chintu in 1 year = 8x × 4 + 125/100    ×8x ×8  = 32x+ 80x= 112x Total Capital of Pintu in 1 year = 18x × 12 = 216x Total Capital of Bittoo in 1year = 9x × 12 = 108x Now,  According to the question 112x + 216x + 108x = 6540 436 x = 6540 x = (6540 )/436 = 15 Hence, Share of Chintu  = 15 × 112 = 1680