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

Solution:

Divide Rs. 200 between A and B

Twice of A’s share is less than 3 times B’s share by 200.

We have to find the share of B.

Let the share of A be Rs. x

Share of B = Rs. (200 - x)

According to the question,

2(share of A) = 3(share of B) - 200

2x = 3(200 - x) - 200

2x = 600 - 3x - 200

2x = 400 - 3x

By transposing,

2x + 3x = 400

5x = 400

x = 400/5

x = 80

Now, 200 - x = 200 - 80

= 120

Therefore, the share B is Rs.120.

✦ Try This: On dividing Rs. 300 between A and B such that thrice of A’s share is less than 2 times B’s share by 100, B’s share is

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

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NCERT Exemplar Class 8 Maths Chapter 4 Problem 112

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

Summary:

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 Rs.120.

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