Multiple choice

Aman, Harry and Pankaj started by a business of online teaching by investing Rs. 30,000 each. After 6 months, Aman and Harry withdraws Rs. 9000 and Rs. 12,000, respectively, but Pankaj invests Rs. 5000 more. At the end of the year, a total profit of Rs. 88,560 was observed. What will be the Pankaj's share?

  1. Rs. 35,000

  2. Rs. 35,100

  3. Rs. 35,200

  4. Rs. 35,300

  5. Rs. 35,400
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Aman: 30k*6 + 21k*6 = 180k + 126k = 306k. Harry: 30k*6 + 18k*6 = 180k + 108k = 288k. Pankaj: 30k*6 + 35k*6 = 180k + 210k = 390k. Total ratio: 306:288:390 = 153:144:195 = 51:48:65. Total parts = 164. Pankaj share = (65/164) * 88560 = 35100.

AI explanation

Using the compound partnership rule, the profit ratio equals the ratio of investment multiplied by time. Aman's effective capital is 30000*6 + 21000*6 = 306000. Harry's effective capital is 30000*6 + 18000*6 = 288000. Pankaj's effective capital is 30000*6 + 35000*6 = 390000. The ratio is 306000:288000:390000, which simplifies to 51:48:65, making a total of 164 parts. Pankaj's share is 65/164 of 88560, which equals Rs. 35100.

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