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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: d
Explanation: Suppose, Swati invested Rs. 5x for 7 months
Rajni invested Rs. 6x for y months
$$\eqalign{ & \frac{{5x \times 7}}{{6x \times y}} = \frac{5}{9} \cr & 30y = 315 \cr & y = 10\frac{1}{2} \cr} $$

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