Multiple choice

Three partners Mir, Naina and Sheela stay in a business for 2 months, 5 months and 8 months, respectively. They share the profit in the ratio 5 : 8 : 9, respectively. Find the ratio of their investments.

  1. 100 : 64 : 45

  2. 90 : 64 : 45

  3. 100 : 80 : 45

  4. 100 : 45 : 64
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit = Investment * Time. Investment = Profit / Time. Ratios: (5/2) : (8/5) : (9/8). Multiply by 40: 100 : 64 : 45.

AI explanation

Using the partnership formula where the investment ratio equals the profit ratio divided by the time ratio, we calculate the ratio for Mir, Naina and Sheela as (5 / 2) : (8 / 5) : (9 / 8). To clear the fractions, multiply each term by the least common multiple of 40, resulting in 100 : 64 : 45.

Keep practicing — related questions