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?

Answer 1

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.