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

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