. A and B started a business in the partnership by investing in the ratio of 7:9. After 3 months A withdraw 2 3 of of its investment and after 4 months from the beginning B withdraw 33 1 3 % of its investment. If the total earned profi t is Rs. 10201/- at the end of 9 months, fi nd the share of each in the profit?
Answers
Answer:
Step-by-step explanation:
Given
. A and B started a business in the partnership by investing in the ratio of 7:9. After 3 months A withdraw 2 3 of of its investment and after 4 months from the beginning B withdraw 33 1 3 % of its investment. If the total earned profit is Rs. 10201/- at the end of 9 months, find the share of each in the profit?
Let capital be A : B
7 x 3 and 9 x 3
21 a 27 b
So capital invested by A in 9 months will be
21 a x 3 + 7 a x 6 = 105 a
Total capital of B invested in 9 months will be
27 a x 4 + 18 a x 5 = 198 a
According to question we get
(105 a + 198 a) = 10201
303 a = Rs 10201
a = 10201 / 303
Now share of A will be
105 x 10201 / 303
= Rs 3535
Share of B will be
198 x 10201 / 303
= Rs 6666