A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is - 

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  1. Rs. 28,000
  2. Rs. 16,000
  3. Rs. 24,000
  4. Rs. 20,000

Answer (Detailed Solution Below)

Option 1 : Rs. 28,000
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Detailed Solution

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Formula used :

Profit = Investment × Time

Solution :

Let B invests Rs x for y months.

Then according to the question :

Investment of A = 3x and time of investment = 2y months.

Ratio of profits of A to B :

⇒ PA : PB = (3x × 2y) : xy

⇒ PA : PB = 6 : 1

But according to the question :

B's profit = Rs 4000

Now, 1 unit = Rs 4000

So, 6 unit = 4000 × 6 = Rs 24000

Required total profit : Rs (24000 + 4000)

⇒ Rs 28000

Hence the correct answer is "Rs 28000".

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