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Bunuel
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Sita and Radha started a business jointly. If Sita invests $6000 for 08 Feb 2021, 06:45
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D
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45% (medium)

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72% (02:13) correct 28% (02:56) wrong based on 359 sessions

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Sita and Radha started a business jointly. If Sita invests $6000 for one year and Radha invests $12000 for 8 months, then out of a total profit of $16800, find the share of Radha ?

(A) $8200
(B) $8600
(C) $9200
(D) $9600
(E) $9800
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D
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saurvan
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Sita and Radha started a business jointly. If Sita invests $6000 for 17 Dec 2024, 22:43
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Ratio of profit= Ratio of Investment * Ratio of time
R.P=2:1*2:3= 4:3
Profit Radha =4/7 * 16800 = 9600
Bunuel
Sita and Radha started a business jointly. If Sita invests $6000 for one year and Radha invests $12000 for 8 months, then out of a total profit of $16800, find the share of Radha ?

(A) $8200
(B) $8600
(C) $9200
(D) $9600
(E) $9800
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levin343
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Sita and Radha started a business jointly. If Sita invests $6000 for 08 Feb 2021, 07:39
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I guess you need to make it similar 1 year and 8 month

It should be D
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rrdeo22
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Sita and Radha started a business jointly. If Sita invests $6000 for 13 Feb 2021, 08:06
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Ratio of investment 6 : 12 -> 1 : 2
Duration -> 12 months and 8 months

Thus profit equation -> 1*12*k + 2*8*k = 16800 => 28k = 16800 => k= 600

Second share -> 16k= 16*600 = 9600 (D)
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Sita and Radha started a business jointly. If Sita invests $6000 for 30 Dec 2024, 12:18
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Hey rrdeo,

Thank you for the solution. I still do not understand why you have multiplied the ratio of investments and the time it has been invested for. I would understand this if it was the case that they are investing a fixed amount every month. But since Radha is in fact investing 2x that of Sita, should she not have a 2/3 ownership in the shares?

Would really be grateful if you can help me understand this question.

rrdeo22
Ratio of investment 6 : 12 -> 1 : 2
Duration -> 12 months and 8 months

Thus profit equation -> 1*12*k + 2*8*k = 16800 => 28k = 16800 => k= 600

Second share -> 16k= 16*600 = 9600 (D)
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pavanbhatt14
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Sita and Radha started a business jointly. If Sita invests $6000 for 07 Feb 2025, 23:17
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Can also solve this as:

Ratio of share-> sita : radha

12000*8/6000*12 = 4/3

Share of radha -> 4/7*16800

=9600

Option: D
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luisdicampo
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Sita and Radha started a business jointly. If Sita invests $6000 for 08 Feb 2026, 01:42
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Deconstructing the Question
Profit in a partnership is divided in the ratio of capital multiplied by time.
We are asked to find Radha’s share of the total profit.

Step-by-step
Sita invests 6000 for 12 months.
\(6000 × 12 = 72000\)

Radha invests 12000 for 8 months.
\(12000 × 8 = 96000\)

Profit-sharing ratio:
\(72000 : 96000 = 3 : 4\)

Total profit:
\(16800\)

Radha’s share:
\((4 / 7) × 16800 = 9600\)

Correct Answer: $9600 (D)
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