Rs. 120 are divided among A, B, C such that A’s share is Rs. 20 more than B’s and Rs. 20 less than C’s. What is B’s share? Options :Rs. 10Rs. 20Rs. 15Rs. 25
Question
Rs. 120 are divided among A, B, C such that A’s share is Rs. 20 more than B’s and Rs. 20 less than C’s. What is B’s share? Options :Rs. 10Rs. 20Rs. 15Rs. 25
Solution
Let's solve this step by step:
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Let's assume B's share is x. According to the problem, A's share is x + 20 and C's share is (x + 20) + 20 = x + 40.
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The total sum of their shares is Rs. 120. So, we can set up the equation: x (B's share) + x + 20 (A's share) + x + 40 (C's share) = 120.
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Simplifying the equation gives: 3x + 60 = 120.
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Subtract 60 from both sides: 3x = 60.
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Divide both sides by 3 to solve for x: x = 20.
So, B's share is Rs. 20.
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