Multiple choice

Akbar, Birbal and Caesar are business partners who share the profit proportionate to their respective investments in business. Akbar got Rs. 960 as his share of profit when total profit was Rs. 1,360. If Birbal gets one-fourth of what Caesar gets as his share of profit, then what is Birbal's share in total investment of Rs. 17,000?

  1. Rs. 1,500

  2. Rs. 1,000

  3. Rs. 750

  4. Rs. 400

  5. Rs. 250
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total profit = 1360. Akbar's share = 960. Remaining profit for Birbal and Caesar = 1360 - 960 = 400. Birbal = 1/4 Caesar, so B + 4B = 400, B = 80. Ratio of Birbal to total profit is 80/1360 = 1/17. Birbal's share of 17000 investment = (1/17) * 17000 = 1000.

AI explanation

Akbar's profit of Rs. 960 out of the total Rs. 1,360 means the remaining profit of Rs. 400 is split between Birbal and Caesar. Since Birbal gets one-fourth of Caesar's share, their profit ratio is 1:4, making Birbal's profit share Rs. 80 and Caesar's Rs. 320. Because profit is shared proportionally to investment, Birbal holds an 80/1360 fraction of the total investment. Multiplying this fraction by the Rs. 17,000 total investment gives Birbal's investment as Rs. 1,000.

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