Multiple choice

M, N and P invest ₹50000 for a business, M invests ₹4000 more than N and N invests ₹5000 more than P. out of the total profit of ₹70000, what is the share received by M

  1. ₹29400

  2. ₹30000

  3. ₹35000

  4. ₹40000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let P's investment be x. Then N's investment is x + 5000 and M's investment is x + 9000. Summing these to 50,000 gives x = 12,000, which means M, N, and P invested 21,000, 17,000, and 12,000 respectively. M's share of the 70,000 profit is therefore 70,000 * (21,000 / 50,000) = 29,400.

AI explanation

Let P's investment be x; then N's investment is x plus 5000 and M's investment is x plus 9000. Since the total investment is Rs. 50000, the equation is x plus x plus 5000 plus x plus 9000 equals 50000, which simplifies to 3x equals 36000, so x equals 12000. The investment ratio for M, N and P is 21000 : 17000 : 12000, which simplifies to 21 : 17 : 12. The total of 50 parts corresponds to the profit of Rs. 70000, so one part is 1400; M's share is 21 parts, giving 21 multiplied by 1400, which equals Rs. 29400.

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