Multiple choice

$A, B and C together invested an amount of Rs. 48000 in the ratio of 6:5:1. What was the percent profit earned by them at the end of one year?$ (I) B's share in the profit is Rs. 20000. (II) The amount of profit received by A is equal to the amount of profit received by B and C. (III) The amount of profit received by B and C together is Rs. 9600.

  1. Only I

  2. Only III

  3. Only either I or III

  4. All I, II and III

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment ratio A:B:C = 6:5:1, total Rs. 48000. So A = 6/12 × 48000 = Rs. 24000, B = 5/12 × 48000 = Rs. 20000, C = 1/12 × 48000 = Rs. 4000. Statement I: B's profit = Rs. 20000, so profit % = (20000/20000) × 100 = 100%. Statement III: B+C's profit = Rs. 9600, so total profit = 9600 × (12/6) = Rs. 19200, profit % = (19200/48000) × 100 = 40%. Either I or III alone gives profit %, matching option C.

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