Multiple choice

A group of partners has come together to invest in a new development project. The partners are named Mark, Olivia, Ryan, Sophie, and Taylor. Mark started the investments with an initial amount that is 15% less than the investment contributed by Taylor. Taylor invested Rs. 20,000 at the outset of the project. Olivia then decided to invest 60% of the combined amount invested by Mark and Taylor. Ryan contributed Rs. 1,490 less than Olivia's investment. After 5 months, Sophie joined the venture and invested an amount equal to the average of the investments made by Mark, Olivia, and Ryan. The partners eventually shared the project's profit based on their investment amounts. The total profit generated by the project after 10 months was Rs. 87,000. What is the approximate difference between the profits earned by Mark and Olivia?

  1. Rs. 4,970

  2. Rs. 5,030

  3. Rs. 5,300

  4. Rs. 5,770

  5. a

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

Taylor = 20,000. Mark = 20,000 * 0.85 = 17,000. Olivia = 0.6 * (20,000 + 17,000) = 22,200. Ryan = 22,200 - 1,490 = 20,710. Sophie = (17,000 + 22,200 + 20,710) / 3 = 19,970. Profits are proportional to (Investment * Time). Mark: 17,000 * 10 = 170,000. Olivia: 22,200 * 10 = 222,000. Difference in ratio = 52,000 / Total_Weighted_Investment * 87,000. Calculation leads to approximately 5,030.

AI explanation

Taylor invested 20000, while Mark invested 15% less, which is 17000. Olivia's investment is 60% of their combined sum, calculated as 0.60 * 37000 = 22200. Ryan contributed 1490 less than Olivia, making his capital 20710, and Sophie's investment equals the average of Mark, Olivia, and Ryan, which is 19970. The total profit ratio of Mark to Olivia is the same as their investment ratio because both invested for the full 10 months. Olivia's profit minus Mark's profit is ((22200 - 17000) / 119080) * 87000, where 119080 is the sum of each partner's investment multiplied by their respective time periods, resulting in an approximate difference of Rs. 5030.