Question

X starts a business with Rs.500. After 4 months Y joins with him with Rs. 400 and aftrer six months of the starting of the business Z joins with Rs.800 .If they get Rs.350 in a year . X's share​

Answer 1

Given :

X start a business with amount = Rs 500

After 4 months of starting , Y joins business with Rs 400

After 6 months of starting , Z joins business with Rs 800

Total profit amount at the end of year = Rs 350

To Find :

The value of X's share amount

Solution :

The ratio of equivalent capital is

 X : Y : Z  =  ( Rs 500 × 12 ) : ( Rs 400 × 8 ) : ( Rs 800 × 6 )

               = Rs 6000 : Rs 3200 : Rs 4800

               = 60 : 32 : 48

               = 15 : 8 : 12

Again

 The sum of their share amount = 15 + 8 + 12

                                                      = Rs 35

Now,

The share amount of X in the profit = $\dfrac{X's share}{sum of share}$  × total profit

                                                             = $\dfrac{15}{35}$ × Rs 350

                                                            = Rs 150

Hence, The share amount of X in the profit is Rs 150  . Answer