Sita and Gita enter into a partnership. Sita | vedclass

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(A) Step $1$: Calculate the equivalent capital for each partner for $1$ year ($12$ months).Sita's investment: She invested ₹ $5,000$ for $3$ months an

Vedclass · Accepted Answer

$488.47$

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(A) Step $1$: Calculate the equivalent capital for each partner for $1$ year ($12$ months).Sita's investment: She invested ₹ $5,000$ for $3$ months and then added ₹ $2,000$,making it ₹ $7,000$ for the remaining $9$ months.Sita's equivalent capital $= (5000 	imes 3) + (7000 	imes 9) = 15000 + 63000 = 78000$.Step $2$: Gita's investment: She invested ₹ $4,000$ for $1$ month. Then she withdrew $\frac{1}{4}$ of $4000$ (which is $1000$),leaving $3000$ for the remaining $11$ months.Gita's equivalent capital $= (4000 	imes 1) + (3000 	imes 11) = 4000 + 33000 = 37000$.Step $3$: Rita's investment: Rita joined after $1$ month and invested ₹ $7,000$ for the remaining $11$ months.Rita's equivalent capital $= 7000 	imes 11 = 77000$.Step $4$: Calculate the ratio of their shares: $78000 : 37000 : 77000 = 78 : 37 : 77$.Total ratio sum $= 78 + 37 + 77 = 192$.Step $5$: Rita's share $= \frac{77}{192} 	imes 1218 = \frac{93786}{192} \approx 488.47$.

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