Divide the number 395 into three different parts such that the second part is 25 % more than the first part and 20 % more than the third part.

Divide the number 395 into three different parts such that the second part is 25 % more than the first part and 20 % more than the third part. a . 125, 150, 120 b. 120, 125, 150 c. 120, 150, 125 d. 125, 120, 150 e. None of the above
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muProfessorAsked on December 2, 2017 in GMAT.
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Thanks for your questions, your problem is - Divide the number 395 into three different parts such that the second part is 25 % more than the first part and 20 % more than the third part. Which answer is correct? a . 125, 150, 120 b. 120, 125, 150 c. 120, 150, 125 d. 125, 120, 150 e. None of the above It is a very easy question, Your Correct answer: c Read this Explanation very carefully According to the question, Hope you will get clear Idea: According to the  question, Second part is 25 % more than the first part ………….i Second part is 20 % more than the third part ………..ii Let the third part = x …………iii ∴ The second part = x = 20 % of x ∴ The second part = x + (x/5) = 6x/5 = 1.20x …………iv Similarly, the first part = 1.20x – 25 % of 1.20x ∴ The first part = 0.96x ………..v But, the sum of all the three parts = 395 ………….vi ∴ From equations iii, iv, v and vi, we can say that, x + 1.20x + 0.96x = 395 ∴ x = 125 = third part ∴ Second part = 1.20 * x = 150 And, the first part = 0.96 * x = 120 Hence, the correct answer is option c If you have more question on GMAT, Ask me here. Thanks
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KnowledgeWorldSupporterAnswered on December 2, 2017,
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