Multiple choice

Niki &Sonu started a business with initial investment of Rs 1300 and Rs 1500 respectively. After 5 months, Niki added Rs 200. After 4 months, Sonu added Rs 500 and after another 3 months, Sonu added Rs 1000. If at the end of the year, they earned the profit of Rs 35200. Calculate Niki's share of profit-

  1. 14600

  2. 13600

  3. 13000

  4. 15600

  5. None of these
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B Correct answer
Explanation

Niki's investment: 1300*5 + 1500*7 = 6500 + 10500 = 17000. Sonu's investment: 1500*4 + 2000*3 + 3000*5 = 6000 + 6000 + 15000 = 27000. Ratio N:S = 17:27. Niki's share = (17/44) * 35200 = 17 * 800 = 13600.

AI explanation

Using the partnership principle that profit shares equal the ratio of effective capital, Niki's capital is 1300 times 5 plus 1500 times 7, which equals 17000. Sonu's capital is 1500 times 4 plus 2000 times 3 plus 3000 times 5, which equals 27000, making their ratio 17 to 27. Niki's share of the Rs. 35200 profit is 17 divided by 44 of 35200, which is Rs. 13600.

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