Sita and Gita enter into a partnership. Sita contributes Rs 5,000 while Gita contributes Rs 4,000. After 1 month, Gita withdraws $\frac{1}{4}$ th of her contribution and after 3 months Sita invests Rs 22,000 more. When Gita withdraws her investment, Rita joins them by investing Rs 7,000. If at the end of 1 year there is a profit of Rs 1,218, what will Rita's share of the profit?

Rs 488.47

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Rs 8,447.37

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Rs 588.47

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RS 623.37

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None of the above

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Solution

The correct option is A Rs 488.47
Here,
$C_{1} \times t_{1} = 5000 \times 12 + 2000 \times 9 = 78000,$
$C_{2} \times t_{2} = 4000 \times 1 + 3000 \times 11 = 37000,$
$C_{3} \times t_{3} = 7000 \times 11 = 77000 a n d P = 1218$
$∴$ Rita's share in the profit
$= \frac{C_{3} \times t_{3} \times P}{C_{1} t_{1} + C_{2} t_{2} + C_{3} t_{3}}$
$= \frac{77000 \times 1218}{78000 + 37000 + 77000} = R s 488.47$

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The correct option is A Rs 488.47Here, C1×t1=5000×12+2000×9=78000, C2×t2=4000×1+3000×11=37000, C3×t3=7000×11=77000 and P=1218 ∴ Rita's share in the profit =C3×t3×PC1t1+C2t2+C3t3 =77000×121878000+37000+77000=Rs 488.47