Hello Guys .. This question was sent in by our friend Hussain Liyaqat He had a doubt regarding a sum on Partnerships

The aptitude question is as follows :

**Question :**

A and B entered a partnership with investments of Rs.15000 and Rs. 40000 respectively. After 3 months, A left from the business. At the same time, C joins with Rs. 30000. At the end of 9 months, they got Rs. 7800 as profit. Find B’s share in it

a). 4800

b). 600

c). 2400

d). 1200

**Solution :**

Alright now to solve this problem, you need to find the ratios of their investments.

So to do that, find the product of **Money Invested X How much Time it is Invested**

So now to simplify our calculations a bit, lets divide all the 3 quantities by 1000 { *it wont matter, since we are calculating ratios* }

So , for A it will be

A = (15 X 3 months) = 45

B = (40 X 9 months) = 360

C = (30 X 6 months) = 180

So if you add it up … 45 + 360 + 180 = 585

So now we can say that, If the profit is divided into 585 parts, then A gets 45 parts or (45/585) of it. B gets 360 parts or (360/585) of it and Similarly C gets 180 parts or (180/585) of it

Hence since B’s share is asked, we can say that B’s share of the profit is

B’s Share of Profit = (360/585) X 7800 = 4800

Hence the answer is **(a) 4800 **

Hope you’re doubt is now cleared Hussain

**Readers! If you find any problem, send it to me and Ill solve here for you in a simple way Keep Learning! 😉 **