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X and Y entered into a partnership investing Rs. 16000 and Rs. 12000, respectively. After 3 months, X withdrew Rs. 5000 while Y invested Rs…

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X and Y entered into a partnership investing Rs. 16000 and Rs. 12000, respectively. After 3 months, X withdrew Rs. 5000 while Y invested Rs. 5000 more. After 3 more months Z joins the business with a capital of Rs. 21000. The share of Y exceeds that of Z, out of a total profit of Rs. 26400 after one year, by
  • ARs. 2100
  • BRs. 1200
  • CRs. 2400
  • DRs. 3600
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Discussion 1

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Investment made by X = Rs. 16000 × 3 + 11000 × 9 = Rs. 147000

Investment made by Y = Rs. 12000 × 3 + 17000 × 9 = Rs. 189000

Investment made by Z = Rs. 21000 × 6 = Rs. 126000

So, ratio of investment = 49 : 63 : 42

Profit of Y = 63/154 × 26400 = Rs. 10800

Profit of X = 42/154 × 26400 = Rs. 7200

∴ the share of Y exceeds that of Z by Rs 3600 in the profit after one year.