Multiple choice

A, B and C invested to start a restaurant. The total investment was Rs. 3 lakh. B invested Rs. 50,000 more than A, and C invested Rs. 25,000 less than B. If the profit at the end of the year was Rs. 14,400, then what was C's share of the profit (in Rs.)?

  1. 3,600

  2. 4,800

  3. 6,000

  4. 7,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A + B + C = 300,000. B = A + 50,000. C = B - 25,000 = A + 25,000. A + (A + 50,000) + (A + 25,000) = 300,000. 3A = 225,000, so A = 75,000. B = 125,000, C = 100,000. Ratio A:B:C = 75:125:100 = 3:5:4. C's share = (4/12) * 14,400 = 4,800.

AI explanation

Let A's investment be x, making B's investment x plus 50,000 and C's investment x plus 25,000. The total investment of Rs. 3,00,000 gives the equation 3x plus 75,000 equals 3,00,000, so x equals 75,000. The investments of A, B, and C are Rs. 75,000, Rs. 1,25,000, and Rs. 1,00,000, respectively, making their profit sharing ratio 3 to 5 to 4. C has 4 parts out of the total 12 parts, so C's share of the Rs. 14,400 profit is 4/12 of 14,400, which is Rs. 4,800.

Keep practicing — related questions