Sita and Radha have partnered to run a business. Sita contributes $7000 for a year, while Radha puts in $14000 for 8 months. Given a total profit of $19600, what is Radha's share?

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$9100

$9500

$9900

$10300

$11200

Correct

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Explanation

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Official Explanation

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To determine Radha's share, we first calculate the effective investment of both partners. Sita's investment is for 12 months, so her contribution is $7000 imes 12 = 84000. Radha's investment is for 8 months, giving her contribution as $14000 imes 8 = 112000. The total investment is $84000 + $112000 = $196000. The profit is $19600, and Radha's share of the profit is calculated based on her investment ratio:…

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Comments

suryanshJun 12, 2025

question is not clear about the fact that Sita invested 7000 per month. Can be easily misinterpreted as Sita investing only 7000 over a whole year.

What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.