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Question no. 56115

P, Q, and R share a sum of Rs.6000. If R holds two-thirds of the combined total of P and Q, what is R's share?

Select your answer for: P, Q, and R share a sum of Rs.6000. If R holds two-thirds of the combined total of P and Q, what is R's share?
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Answer: C. Rs.2400

Explanation

The correct answer is two thousand four hundred rupees for R's share. R holds two-thirds of the combined total of P and Q according to the problem. This means R's share equals two-fifths of the total six thousand rupees overall sum. R equals two-thirds of P plus Q, which means R plus P plus Q equals total sum. Substituting two-thirds into the total sum equation gives five-thirds of R equal to six thousand. Solving for R yields two-fifths multiplied by six thousand rupees.

Financial inheritance and partnership distributions often involve proportional split conditions. Accounting professionals use fractional ratios to divide shared assets among multiple parties. Business equity sharing agreements rely on clear proportional relationships between stakeholders. Option A overestimates R's share by assuming an equal split among all three individuals. Option B results from an incorrect fractional conversion of the given ratio condition. Option D represents a miscalculation of the proportional parts sum in the equation.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

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