Question
Download Solution PDFRs. 2,000 is divided between A and B such that half of A's part and one-third of B's part are equal. What is B's part (in Rs.)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Rs. 2,000 is divided between A and B such that half of A's part and one-third of B's part are equal.
Formula used:
Let A's part be ₹x and B's part be ₹(2000 - x).
According to the problem,
\(\frac{x}{2} = \frac{2000 - x}{3}\)
Calculation:
\(\frac{x}{2} = \frac{2000 - x}{3}\)
⇒ 3x = 2(2000 - x)
⇒ 3x = 4000 - 2x
⇒ 3x + 2x = 4000
⇒ 5x = 4000
⇒ x = 800
B's part = 2000 - 800 = 1200
∴ The correct answer is option 1.
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