Rina ,Ratul and Ayesha started a business. Rina invested 1/3 part, Ratul 1/4 part and rest of the capital was invested by Ayesha. The ratio of their profits will be-

Question: Rina ,Ratul and Ayesha started a business. Rina invested 1/3 part, Ratul 1/4 part and rest of the capital was invested by Ayesha. The ratio of their profits will be-

Solution:
Let,
Total capital be TK x
Then,
Rina's share = x/3 TK
Ratul's share = x/4 TK
Ayesha's share = x - {(x/3) + (x/4)}
= x - {(4x + 3x)/12}
= x - (7x/12)
= (12x - 7x)/12
= 5x/12 TK

∴ Required ratio
= (x/3) : (x/4) : (5x/12)
= 4x : 3x : 5x [multiply by 12]
= 4 : 3 : 5