Multiple choice

The ratio of investment of two partners is 11 : 12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months, find for how much time B invested his money? दो साझेदारों के लिए निवेश का अनुपात 11 : 12 है और उनके लाभों में अनुपात 2 : 3 है | यदि A ने 8 माह के लिए निवेश किया हो, ज्ञात कीजिये कि कितने समय के लिए B ने अपनी राशि निवेशित की ?

  1. 10 months/माह

  2. 11 months/माह

  3. 12 months/माह

  4. 13 months/माह

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In partnership, profit ratio = (investment × time) ratio. So (11 × 8) : (12 × t) = 2 : 3, where t is B's time in months. This gives 88 : 12t = 2 : 3. Cross-multiplying: 88 × 3 = 12t × 2 → 264 = 24t → t = 11 months. Option B is correct.