Aditya and Manish continued in a joint busine | vedclass

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(D) Total profit $= Rs. 1020$.Aditya's share $= Rs. 495$.Manish's share $= 1020 - 495 = Rs. 525$.The ratio of their profit shares is equal to the rati

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$22$

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(D) Total profit $= Rs. 1020$.Aditya's share $= Rs. 495$.Manish's share $= 1020 - 495 = Rs. 525$.The ratio of their profit shares is equal to the ratio of their investments multiplied by time.Let Aditya invest for $x$ months. Then Manish invests for $(36 - x)$ months.Ratio of profit $= \frac{300 	imes x}{500 	imes (36 - x)} = \frac{495}{525}$.Simplifying the fraction $\frac{495}{525}$ by dividing by $15$,we get $\frac{33}{35}$.So,$\frac{3x}{5(36 - x)} = \frac{33}{35}$.$\frac{x}{36 - x} = \frac{33}{35} 	imes \frac{5}{3} = \frac{11}{7}$.$7x = 11(36 - x)$.$7x = 396 - 11x$.$18x = 396$.$x = \frac{396}{18} = 22$.Thus,Aditya kept his money for $22$ months.

Aditya and Manish continued in a joint business for $36$ months. Aditya contributed $Rs. 300$ for a certain time and Manish invested $Rs. 500$ for the remaining time. If out of a total profit of $Rs. 1020$,Aditya gets $Rs. 495$,then for how many months did Aditya keep his money?

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