Question

A, B and C enter into a partnership by investing in the ratio of 3: 2: 4. After one year, B invests another Rs. 2,70,000 and C at the end of 2 years, also invests Rs. 2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4: 5. Find the initial investment of C.

• A. Rs. 2,70,000
• B. Rs. 1,80,000
• C. Rs. 3,60,000
• D. None of these

Answer 1

The correct option is C Rs. 3,60,000

Let the initial investments of A, Band C be Rs. 3x, Rs. 2x and Rs. 4x .
A's share of investment=$3x\times 39=108x$
B's share of investment=$\left[\right(2x\times 12)+(2x+270000)\times 24]$
$72x+6480000$
C's share of investment=$\left[\right(4x\times 24)+(4x+270000)\times 12]$
$144x+3240000$
$108x:72x+6480000:144x+3240000=3:4:5$
$\Rightarrow \frac{108x}{72x+6480000}=\frac{3}{4}$
$\Rightarrow 432x=216x+19440000$
$\Rightarrow 216x=19440000$
$\Rightarrow x=90000$
Hence A's initial investment=$3x=3\times 90000=270000Rs.$
B's initial investment=$2x=2\times 90000=180000Rs.$
C's initial investment=$4x=4\times 90000=360000Rs.$