Question

A&B Enter into a partnership and a invest Rs.10000. At the end of 4 months he withdrew Rs.2000. At the end of another 5 months he withdrew Rs.3000
If B receives Rs.9600 as his share from the total profit of Rs.19100 for a year.
How much did B invest in the company?

Answer 1

Answer:

Step-by-step explanation:

Our question is: A&B Enter into a partnership and a invest Rs.10000. At the end of 4 months he withdrew Rs.2000. At the end of another 5 months he withdrew Rs.3000

If B receives Rs.9600 as his share from the total profit of Rs.19100 for a year.

How much did B invest in the company?

We can see that the total profit was Rs.19100, and from this value B gets Rs.9600 and A will get Rs.19100 - Rs.9600, which is equal to Rs.9500.

We can say that a relation between A and B is 95/96.

Relatively to A we know from the question that the initial investment made was Rs.10000

Also, after 4 moths he withdrew Rs.2000. Hence A now has an expense of Rs.8000.

5 moths later he withdrew other Rs.5000 and now he has an expense of Rs.5000.

Hence, his investment will be equal to:

=4×10000+5×8000+3×5000

=40000+40000+15000

=Rs.95000

Now, if we properly think about this problem we understand that when A had Rs.95000 B had Rs.96000.

And if B had Rs.96000 invested finally then in the amount of moths considered, the initial investment of B was equal to Rs.96000/12 = Rs. 8000.

Hence, the initial investment of B was equal to 96000/12 = Rs. 8000.

I hope this helps you!!

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