Multiple choice

A certain amount was to be distributed among A,B and C in the ratio of 7 : 5 : 3,but due to mistake the amount was distributed in the ratio of 2 : 3 : 1.As a result of this C got Rs 105 less. What is the difference of actual share of A and B? एक निश्चित राशि A, B व C के मध्य 7 : 5 : 3 के अनुपात में वितरित की जानी थी, लेकिन गलती से वह राशि 2 : 3 : 1 के अनुपात में वितरित कर दी गई। जिसके परिणामस्वरूप C को 105 रुपये कम मिले। A और B के वास्तविक हिस्से का अंतर कितना होगा?

  1. 630

  2. 735

  3. 420

  4. 210
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total amount be T. Intended ratio 7:5:3 means A's share = 7T/15. Wrong ratio 2:3:1 means C got T/6. Intended share for C = 3T/15 = T/5. Difference: T/5 - T/6 = T/30 = 105, so T = 3150. A's actual share = 7(3150)/15 = 1470. B's actual share = 5(3150)/15 = 1050. Difference = 1470 - 1050 = 420. The answer is Rs 420. Option C is correct.

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