P and invested Rs. 8000 and Rs. 4000 in a
partnership business. Each partner received 5%
interest on the capital invested. At the end of year,
there was a profit of Rs. 10000, What was the share
of each partner (excluding interest)?
(a) Rs. 6000, Rs. 3000 (b) Rs. 6100, Rs. 3900
(c) Rs. 6267, Rs. 3133 (d) Rs. 6348, Rs. 3200
1
Answers
Answer:
d
Step-by-step explanation:
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Answer:
Shares of P and R is 6267 Rs and 3133 Rs
Step-by-step explanation:
In the given problem the investors might be P and R
Given that P invested = 8000 Rs
R invested = 4000 Rs
and the profit at end of the year = 10,000 Rs
the capital interest received by each partner = 5%
capital interest = capital amount ×rate × time period
[capital amount = invested amount, rate = 5, t = 1 year ]
the capital interest received by P = 8000× × 1= 400 Rs
the capital interest received by R = 4000× × 1 = 200 Rs
the ratio of the investments of P and R = 8000 : 4000
= 8 :4
= 2 : 1
The time periods of both investments is same therefore the profit must be share in the ratio of the investment which is 2 : 1
The share of P in profit = 10000 × = 6666.6
The share of R in profit = 10000 × = 3333.3
here the capital interest is excluded
the share of P = 6667 - capital interest
= 6667 - 400 = 6267 Rs [ 6666.6 is taken as 6667 ]
the share of R = 3333 - capital interest
= 3333 -200 = 3133 Rs [ 3333.3 is taken as 3333 ]