. Shivani and Shabana invested 5: 6 in a joint venture. After 4 months, Shivani withdrew its capital from the business and their dividend ratio was 5: 9. How long was Shabana's capital invested?
Answers
Answer:
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Given : Shivani and Shabana invested 5: 6 in a joint venture.
After 4 months, Shivani withdrew its capital from the business and their dividend ratio was 5: 9.
To Find : How long was Shabana's capital invested?
Solution:
Shivani and Shabana invested 5: 6 in a joint venture.
Let say shivani invested = 5x
and Shabana invested = 6x
After 4 months, Shivani withdrew
Hence Shivani 's capital invested for 4 months
=> Shivani investment = 5x * 4 = 20x
Let Shabana's capital invested for y months
Shabana's investment = 6x * y = 6xy
dividend ratio was 5: 9
=> 20x : 6xy = 5 : 9
=> 20 / 6y = 5/9
=> 30/y = 5
=> y = 6
Hence Shabana's capital invested for 6 months
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