Multiple choice

Rahul and Modi jointly started a dairy business. Rahul put four times as much money as Modi did, and invested his money for double the time than Modi did. If Modi's share in the profit was Rs. 54,000, then what was the total profit made?

  1. Rs. 4,50,000

  2. Rs. 4,86,000

  3. Rs. 5,20,000

  4. Rs. 5,55,000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment ratio: Rahul = 4*Modi_money * 2*Modi_time = 8 units. Modi = 1*Modi_money * 1*Modi_time = 1 unit. Total profit ratio = 8:1. Modi's share = 54,000. Total profit = (8+1) * 54,000 = 9 * 54,000 = 4,86,000.

AI explanation

The profit sharing ratio is determined by the product of investment and time. If Modi's investment is x for t months, Rahul's investment is 4x for 2t months. The ratio of their profit shares is 8xt : xt, or 8 : 1. Since Modi's share of 1 part is 54000, the total profit of 9 parts is calculated as 54000 * 9, which equals 486000.

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