Multiple choice

A and B started a business investing Rs. 10 lakh and Rs. 15 lakh, respectively. After 6 months C joined them by investing Rs. 20 lakh. If the profit at the end of the year is Rs. 5.6 lakh, then the share of A in the profit (in lakh of rupees) is

  1. 1.6

  2. 2.4

  3. 3.2

  4. 4.8

  5. 2.7
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Investment ratio: (10*12) : (15*12) : (20*6) = 120 : 180 : 120 = 2 : 3 : 2. Total parts = 7. A's share = (2/7) * 5.6 = 1.6.

AI explanation

Using the compound ratio method for partnership profits, the profit ratio of A, B and C is (10 times 12) to (15 times 12) to (20 times 6), which simplifies to 120 to 180 to 120 or 2 to 3 to 2. The total of 7 parts corresponds to the total profit of Rs. 5.6 lakh, meaning each part is 5.6 divided by 7, which equals 0.8 lakh. The share of A is 2 parts, so 2 multiplied by 0.8 gives 1.6 lakh. The correct answer is 1.6.

Keep practicing — related questions