Multiple choice

Amit and Bikram invest in a business in the ratio of 2 : 3. If 5% of the total profit goes to charity and Amit's share is Rs. 456, then the total profit is

  1. Rs. 1200

  2. Rs. 1500

  3. Rs. 1000

  4. Rs. 1080

  5. None of these
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A Correct answer
Explanation

Let total profit be P. Profit after charity = 0.95P. Amit's share = (2/5) * 0.95P = 456. 0.38P = 456. P = 456 / 0.38 = 1200.

AI explanation

Let the total profit be P. After 5% is deducted for charity, the remaining profit is 0.95P, which is distributed between Amit and Bikram in their investment ratio of 2 : 3. Amit's share is (2/5) of the remaining profit, so we set (2/5) * 0.95P = 456. Solving 0.38P = 456 gives P = 1200. The total profit is Rs. 1200.

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