Multiple choice

Arun and Jacob planned to start a new business of dairy products and invested in the respective ratio of 3 : 5 in the beginning. After 1 year of business, the profit they earned was shared in the ratio of 2 : 4. If Jacob invested money for 6 months, then how long did Arun invest money for?

  1. 4 months

  2. 5 months

  3. 6 months

  4. 9 months

  5. 10 months
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit ratio is (Investment * Time). Let Arun's time be T. Then (3 * T) / (5 * 6) = 2 / 4. Solving for T: 18T / 30 = 1/2, so 12T = 60, T = 5 months.

AI explanation

Use the fundamental rule of partnership: the ratio of profits equals the ratio of the product of investments and time. Therefore, (3 x T) divided by (5 x 6) equals 2 divided by 4. Simplifying this equation yields 3T divided by 30 equals 0.5. Solving for T gives T equals 5 months.

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