Multiple choice

Directions: Select the correct alternative from the given choices. Ajay started a business with an investment of Rs.48000. After t months, Bimal joined him with an investment of Rs.48000, and after another t months Chanchal joined them both with an investment of Rs.24000. If at the end of the year, the profit share of Ajay was equal to the sum of the profit shares of Bimal and Chanchal, find the value of t.

  1. 2

  2. 3

  3. 4

  4. 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment periods: Ajay = 12 months, Bimal = 12-t, Chanchal = 12-2t. Profit shares: Ajay = 48000*12, Bimal = 48000*(12-t), Chanchal = 24000*(12-2t). Ajay = Bimal + Chanchal => 576000 = 576000 - 48000t + 288000 - 48000t. 96000t = 288000, t = 3.

AI explanation

Ajay's effective capital is 48000 times 12, Bimal's is 48000 times (12 minus t), and Chanchal's is 24000 times (12 minus 2t). Since Ajay's profit equals the sum of Bimal's and Chanchal's, their effective capital products must be equal, so 48000 times 12 equals 48000 times (12 minus t) plus 24000 times (12 minus 2t). Dividing by 12000 gives 48 equals 48 minus 4t plus 24 minus 4t, which simplifies to 8t equals 24, meaning t equals 3.

Keep practicing — related questions