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**Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni’s capital used ?**

A. 10 months
B. 12 months
C. 14 months
D. None of these
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

Suppose,
Swati invested Rs. 5x for 7 months
And
Rajni invested Rs. 6x for y months
Then,
$\begin{array}{l}
\Rightarrow \Large\frac{5 x \times 7}{6 x \times y}=\frac{5}{9} \\
\Rightarrow 30 y=315 \\
\Rightarrow y=10 \large\frac{1}{2}
\end{array}$
Hence, Rajni’s capital was used for $10 \frac{1}{2}$ months.

## Related Questions On Partnership

### Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A. 5 : 7 : 8B. 20 : 49 : 64

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D. None of these

### Three partners A , B , C start a business . B’s Capital is four times C’s capital and twice A’s capital is equal to thrice B’s capital . If the total profit is Rs 16500 at the end of a year ,Find out B’s share in it.

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