Multiple choice

An amount of money is to be divided among A, B and C in the ratio 5:11:23 respectively. If the difference between the total share of A and B together and C's share is Rs.2800. What is the difference between B and C's share? एक धनराशि A, B और C में क्रमशः 5 : 11 : 23 के अनुपात में बाँटी जाती है। यदि A और B के कुल भाग को मिलाकर और C के भाग का अन्तर 2800 रू. है तो B और C के भाग में क्या अन्तर है?

  1. Rs.3680

  2. Rs.4800

  3. Rs.4600

  4. Rs.5200
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B Correct answer
Explanation

Let amounts be 5x, 11x, 23x. Given: difference between (A + B) and C is 2800. So |(5x + 11x) - 23x| = 2800 → |16x - 23x| = 2800 → 7x = 2800 → x = 400. We need B - C = |11x - 23x| = |11x - 23x| = 12x = 12 × 400 = 4800. Note: C has the largest share (23 > 16), so C > (A + B).

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