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Rohit, Vikas, and Pankaj have a total amount of2800 with them. Rohit has 200 more than Vikas.Pankaj has 4 times the money as Rohit has. Howmuch money does each of them have? |
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Answer» Answer: Amount with Vikas = 300 rupees Amount with Rohit = 500 rupees Amount with Pankaj = 2000 rupees Step-by-step explanation: Given:
To FIND:
Solution Let the money with Vikas be Rs. X By given, Money with Rohit = Rs (Money with Vikas + 200) Money with Rohit = Rs (x + 200) Also by given, Money with Pankaj = 4 × ( Money with Rohit) Money with Pankaj = 4 × (x + 200) Money with Pankaj = 4x + 800 rupees. Now by given, Money with Pankaj + Money with Rohit + Money with Vikas = Rs.2800 Substitute the data, 4x + 800 + x + 200 + x = 2800 Solving it, 6x + 1000 = 2800 6x = 2800 - 1000 6x = 1800 x = 1800/6 x = 300 Therefore amount with Vikas = Rs.x = Rs.300 Amount with Rohit = x + 200 = 300 + 200 = Rs.500 Amount with Pankaj = 4 (x + 200) = 4 × 500 = Rs.2000 Verification: Money with Pankaj + Money with Rohit + Money with Vikas = Rs.2800 300 + 500 + 2000 = 2800 800 + 2000 = 2800 2800 = 2800 Hence VERIFIED. |
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