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Question
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, B’s share is?
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Solution
Let B’s share be ₹ x.
Then, A’s share = ₹ (200 – x)
According to the question,
2 × (A’s share) = 3 × (B’s share) – 200
⇒ 2 × (200 – x) = 3x – 200
⇒ 400 – 2x = 3x – 200
⇒ –2x – 3x = –200 – 400
⇒ – 5x = – 600
⇒ x = `-600 xx (- 1/5)`
∴ x = 120
Hence, B’s share is ₹ 120.
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