L. A&B enter into a partnership business by investing total amount of Rs. 12500, if at the end of six months, B
withdraw Rs. 500 from bis initial investment and got a profit of Rs. 4250 out of total profit of Rs. 12,250
the end of a year, then find the investment of B?
Answers
The answer is 4500 Rs
Given: Total investment of A and B = 12500
at end of the B withdraw Rs 500 from investment
B got profit of Rs. 4250 out of total profit 12,250 Rs
To find: Investment of B
Solution: let a and b be the investments of A and B
From data total investment a+b = 12500
A kept investment for entire year
B kept his investment for 6 months and withdraw 500 for rest of 6 months
then Ratio of profit
= A's investment × 12 months : B's investment × 6 months
= a × 12 : b × 6 + (b-500) × 6
= 12 a : 6b + 6b - 3000
= 12 a : 12b - 3000
= a : b - 250 [ divided by 12 ]
From given data B got Rs.4250 out of total profit 12,250 Rs
⇒ A's profit = 12250 - 4250 = 8000
⇒ Ratio of profit = 8000 : 4250 (keep its as it is )
⇒ a : b - 250 = 8000 : 4250
From above calculations
b - 250 = 4250
b = 4500
Therefore, B's investment = 4500
#SPJ2