Question

Vimla started a business investing Rs. 90000. After 3 months, Pulkit joined him with a capital of Rs. 120000. After another 6 months, Alia joined them with a capital of Rs. 180000. At the end of the year, they made a profit of Rs. 40000. What would be Alia’s share in it? *​

Answer 1

Answer:

18462

Step-by-step explanation:

Capital share ratio=90000:120000:180000,3:4:6

Share of profit of Alia= 6/13*40000=18462

Answer 2

Profit and Loss

Total annual profit $=40000$

Investment of Vimla $= 90000$

Investment of Pulkit $=120000$

Investment of Alia $=180000$

Time period of investment of Vimla $= 12 \ months$

Time period of investment of Pulkit $= 9 \ months$

Time period of investment of Alia $= 6 \ months$

We know that,

$profit\ ratio= (investment \times time\ period) ratio$

Profit ratio of investments of Vimla, Pulkit and Alia

$Vimla:Pulkit:Alia$ $= 90000\times12:120000\times9:180000\times3 = 2:2:1$

Alia's share$= Rs. 40000 \times(1/5) = Rs. 8000$

Hence Alia's profit will be Rs. 8000.