Multiple choice

X and Y are partners in a business. They invest in the ratio 5 : 6, at the end of 8 months X withdraws his capital. If they receive profits in the ratio of 5 : 9. Find how long Y's investment has been used? X तथा Y ने एक व्यापार में क्रमशः 5 : 6 के अनुपात में पूँजी निवेश की 8 माह के बाद X ने अपनी पूँजी वापस निकाल ली। यदि उन्हें 5 : 9 के अनुपात में लाभ प्राप्त हुआ हो, तो ज्ञात करें Y ने अपनी पूँजी कितने समय के लिये निवेश की?

  1. 12 months / माह

  2. 10 months / माह

  3. 15 months / माह

  4. 14 months / माह
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A Correct answer
Explanation

X invests 5 parts for 8 months. Y invests 6 parts for t months. Profit ratio = 5:9. Using profit sharing ratio: (5×8)/(6×t) = 5/9. So 40/(6t) = 5/9, cross-multiplying: 360 = 30t, so t = 12 months. Y invested for 12 months total.

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