A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Tk. 27000; C's profit share is

Question: A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Tk. 27000; C's profit share is

Solution:
ধরি,
A এর বিনিয়োগ X, লাভ পাবে 12 মাসের।
B এর বিনিয়োগ 2X, লাভ পাবে 6 মাসের।
C এর বিনিয়োগ 3X, লাভ পাবে 4 মাসের।

তাহলে,
A : B : C = (X × 12) : (2X × 6) : (3X × 4)
= 12X : 12X : 12X
= 1 : 1 : 1

∴ C এর লাভ হবে = (27000 এর 1/3)
= 9000 টাকা