Multiple choice

Tripit and Kavya entered a partnership, in which Tripit invested Rs. 25,000 for 8 months and Kavya invested Rs. 40,000 for 4 months. If at the end of one year, Tripit received Rs. 5500 in profit, then what was the total profit earned?

  1. Rs. 9600

  2. Rs. 8800

  3. Rs. 9500

  4. Rs. 9900

  5. Rs. 8500

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Tripit's investment ratio = 25000 * 8 = 200,000. Kavya's investment ratio = 40000 * 4 = 160,000. Ratio = 20:16 = 5:4. Tripit's share = 5/9 of total profit. 5/9 * Total = 5500. Total = 5500 * 9 / 5 = 1100 * 9 = 9900.

AI explanation

By the principle of partnership, the ratio of profits equals the ratio of their investment multiples. Tripit's investment multiple is 25000 x 8 = 200000, while Kavya's investment multiple is 40000 x 4 = 160000. This gives a profit ratio of 20:16, or 5:4. Since Tripit's 5 parts equal Rs. 5500, each part is Rs. 1100, making the total 9 parts equal to Rs. 9900.