A, B, and C started a business by investing a sum of money in which A invested 25% of the total, B invested 30% of the remaining and C invested the remaining. Find the ratio of profit at the end of the year.

10 : 9 : 21

25% = \(\frac{1}{4}\)

30% =\(\frac{3}{10}\)

Let total investment is = 40 (LCM of the denominators 4 and 10)

ATQ,  

Investment:

A = 40× 25% = 10

Remaining = 40 - 10 = 30

B =  30 × 30% = 9

Remaining = 30 - 9 = 21

 C = 21

 *Profit ratio = Investment ratio (if time of investment is same for all)

Therefore,

Profit Ratio =  10 : 9 : 21