Multiple choice

Sanjay and Tanmay entered into a partnership for a year in which Sanjay invested Rs 120000 and Tanmay invested Rs 70000. After 4 months, Sanjay invested Rs 80000 more whereas after 5 months, Tanmay invested Rs 30000 more. When two months were left Sweta also joined investing Rs 400000 as her contribution. If the profit for the year was 12.5% of 1572000, find the share of Sanjay, Tanmay and Sweta.

  1. Rs 40000, Rs 104000, Rs 52500

  2. Rs 104000, Rs 52500, Rs 40000

  3. Rs 52500, Rs 40000, Rs 104000

  4. Rs 78420, Rs. 48645, Rs. 48770

  5. None of these

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

Profit = 12.5% of 1572000 = 196500. Calculate capital-months: Sanjay = 120000×4 + 200000×8 = 1680000; Tanmay = 70000×5 + 100000×7 = 1050000; Sweta = 400000×2 = 800000. Ratio 168:105:80 = 33.6:21:16. Total units = 70.6. Sanjay = (33.6/70.6)×196500 ≈ 93600. Wait, recalculating: using exact ratio, Sanjay: 168/353×196500 = 93600; Tanmay: 105/353×196500 = 58500; Sweta: 80/353×196500 = 44500. But options suggest different numbers. Using simpler ratio: 168:105:80. Total 353. Sanjay: 168/353×196500 ≈ 93600. This doesn't match. Let me re-check months: Sanjay 4 months at 120k, 8 months at 200k = 480k+1600k = 2080k. Tanmay 5 months at 70k, 7 months at 100k = 350k+700k = 1050k. Sweta 2 months at 400k = 800k. Ratio 208:105:80 = 393 total. Sanjay: 208/393×196500 = 104000. Tanmay: 105/393×196500 = 52500. Sweta: 80/393×196500 = 40000.