Multiple choice

A and B started a business with the investment of A is twice of that invested by B. At the end of _______ months from the start of the business, B doubled his investment. If at the end of the year, the total profit earned is Rs.2800 and then the share of B is Rs _____.

  1. 6, 1200

  2. 4, 1800

  3. 8, 1100

  4. Either 1 or 3

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

Let B's initial investment be x. Then A invests 2x. If B doubles at month 6, for first 6 months: ratio is 2x:x, for next 6 months: ratio is 2x:2x. Total ratio-year equivalent: A = 2x×12 = 24x, B = x×6 + 2x×6 = 18x. Profit of B = (18x)/(24x+18x) × 2800 = (18/42)×2800 = Rs. 1200. So option A (6 months, Rs.1200) is correct.

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