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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? - Mathematics

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प्रश्न

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?

योग
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उत्तर

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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अध्याय 4: Linear Equation In One Variable - Exercise [पृष्ठ १२१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 4 Linear Equation In One Variable
Exercise | Q 112. | पृष्ठ १२१

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