A and B started a business in partnership by investing in the ratio of 7 9 After 3 months A withdraw...........

Quantitative Aptitude ( CCS) Partnership

A and B started a business in partnership by investing in the ratio of 7 : 9. After 3 months. A withdraw 2/3 of its investment and after 4 months from the beginning B withdraw 100/3% of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit.

Rs. 3535 , Rs. 6666

Rs. 3055 , Rs. 5555

Rs. 4503 , Rs. 1345

Rs. 3545 , Rs 3333

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Explanation:

Note : In such type of question we can assume ratio as per our need to avoid fraction.
Capital → A : B
7×3 : 9x3
New ratio → A : B
21x : 27x
Total capital invested by A in 9 months = 21x ×3 + 7x × 6 = 105 x
Total capital invested by B in 9 months = 27x × 4 + 18x × 5 = 108x + 90x = 198x
A : B
Capital→ 105x : 198x
According to the question,
(105 x 198x) = Rs. 10201
303 x = Rs. 10201
x = Rs. 10201/303
Hence, share of A
= 105×10201/303 = Rs. 3535
Share of B = 198 × 10201/303 = Rs. 6666