📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      A invests Rs. 60,000 in a business, and B invests Rs.

      80,000. After 6 months, C joins with an investment of Rs. P. At the end of the year, the total profit is Rs. 1,29,600, of which C’s share is Rs. 28,800. What is the value of P?
      A Rs. 20,000 Correct Answer Incorrect Answer
      B Rs. 50,000 Correct Answer Incorrect Answer
      C Rs. 80,000 Correct Answer Incorrect Answer
      D Rs. 40,000 Correct Answer Incorrect Answer

      Solution

      ATQ, Capital × time: A: 60,000 × 12 = 7,20,000 B: 80,000 × 12 = 9,60,000 C: P × 6 = 6P Divide all by 24,000 to simplify the ratio: A : B : C = 7,20,000/24,000 : 9,60,000/24,000 : 6P/24,000 = 30 : 40 : (P/4000). Let x = P/4000. Then ratio is 30 : 40 : x. Total ratio = 70 + x. C’s share of profit: x / (70 + x) × 1,29,600 = 28,800 So, x / (70 + x) = 28,800 / 1,29,600 = 2/9 => 9x = 2(70 + x) => 9x = 140 + 2x => 7x = 140 => x = 20 Thus P = 4000 × 20 = Rs. 80,000

      Practice Next
      More Partnership Questions
      ask-question