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Question

In a joint business one of the two friends invests ₹ xyz for y months and the other ₹ y²z for x months. At the end of the agreements, the profit would be distributed in the ratio x : y.

WBBSE Class X Mathematics Partnership 01 Mark 2025

Answer

False

Explanation:

  • Profit is distributed in the ratio of the product of investment and time.
  • The profit-sharing ratio formula is:

Profit Ratio=Investment × Time

  • The first friend’s investment is xyz for y months, so contribution = xyz × y = xy2z
  • The second friend’s investment is y²z for x months, so contribution = y2z × x = xy2z

Since both contributions are the same, the ratio is 1:1, not x:y.

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