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Pankaj gave 50 percent of the amount to akash. Akash in turn gave two-fifth of the amount to venu. After paying a bill of 500 rupees, venu now have 8000 rupees left with him. Find the amount hold by pankaj initially.
  • a)
    41500
  • b)
    42500
  • c)
    43500
  • d)
    44500
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Pankaj gave 50 percent of the amount to akash. Akash in turn gave two-...
Answer – 2. 42500 Explanation : Let pankaj have P amount initially [[(50/100)*P]*2/5 – 500] = 8000
P = 42500
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Pankaj gave 50 percent of the amount to akash. Akash in turn gave two-...
Given: Pankaj gave 50% of the amount to Akash. Akash gave 2/5 of the amount to Venu. Venu has Rs.8000 after paying a bill of Rs.500.

Let's assume the initial amount held by Pankaj = x

Amount given to Akash = 50% of x = 0.5x
Amount left with Pankaj = 0.5x

Amount given by Akash to Venu = 2/5 of 0.5x = 0.2x

Amount left with Akash = 0.5x - 0.2x = 0.3x

After paying a bill of Rs.500, Venu has Rs.8000 left with him.
Therefore, the amount he received from Akash = Rs.8000 + Rs.500 = Rs.8500

0.2x = Rs.8500
x = Rs.42500

Hence, the amount held by Pankaj initially was Rs.42500.
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Pankaj gave 50 percent of the amount to akash. Akash in turn gave two-...
Answer – 2. 42500 Explanation : Let pankaj have P amount initially [[(50/100)*P]*2/5 – 500] = 8000
P = 42500
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