Multiple choice

Abbas started a business with Rs. 26000 and after 4 months Mustan joined him with Rs. 19500. At the end of the years, out of the total profit, Mustan received 20% of the profit as commission for managing the business. If Mastan got Rs. 4620 as his profit share, calculate the total profit. अब्बास ने 26000 रू. लगाकर एक व्यापार शुरू किया और 4 माह बाद मस्तान 19500 रू लगाकर उससे जुड़ गया। वर्ष के अन्त में मस्तान व्यापार के प्रबन्धन के लिए कुल लाभ का 20% कमीशन के रूप में प्राप्त करता है। यदि मस्तान को लाभ के रूप में 4620 रू. प्राप्त हुए तो कुल लाभ की गणना कीजिए।

  1. Rs. 9100

  2. Rs. 9300

  3. Rs. 9700

  4. Rs. 9900

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

Abbas invested Rs. 26000 for 12 months, Mustan Rs. 19500 for 8 months. Investment ratio = 26000×12 : 19500×8 = 312000 : 156000 = 2 : 1. Mustan's share of 80% profit = (1/3) × 0.8P = 4620 + commission. Commission = 20% of total profit = 0.2P. So (1/3) × 0.8P = 4620 + 0.2P. Solving: 0.8P/3 - 0.2P = 4620, (0.8P - 0.6P)/3 = 4620, 0.2P/3 = 4620, P = Rs. 9900.