Problem: A, B and C enter into a partnership by investing in the ratio of 3 : 2 : 4. After one year, B invests another Tk. 2,70,000 and C, at the end of 2 years, also invests Tk. 2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find the initial investment of each.
View all: PROBASY KALYAN BANK CASH OFFICER | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer: ans: A invested 2,70,000, B invested 1,80,000 & 3,60,000.
Explanation:
Let, A invested initially = 3x
B invested initially = 2x
C invested initially = 4x
From the question,$\frac{3x\times 36}{2x\times 36+24\times 270000}$ = $\frac{3}{4}$
=> $\frac{108x}{72x+6480000}$ = $\frac{3}{4}$
=> 432x – 216x = 6480000 x 3
x = 90,000
A invested = 3 x 90,000 = 2,70,000
B invested = 2 x 90,000 = 1,80,000
C invested = 4 x 90,000 = 3,60,000
