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Question

Study the following information carefully and answer the questions given below: The number of pencils purchased by Aman is 20% more than that by Manish. The ratio of number of pencils purchased by Aman and Rahul is 3:5. The number of pencils purchased by Lakshay is 20 more than that by Manish. Gagan purchased 30% less number of pencils than Lakshay, which is 60.

The number of pencils that Manish have is how much percent less than that of Lakshay?

A 25.12% Correct Answer Incorrect Answer
B 33.33% Correct Answer Incorrect Answer
C 16.16% Correct Answer Incorrect Answer
D 22.01% Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let number of pencils purchased by Aman and Rahul be 3x and 5x respectively. Number of pencils purchased by Lakshay = 60 Number of pencils purchased by Manish = 60 – 20 = 40 Number of pencils purchased by Gagan = (70/100) × 60 = 42 Number of pencils purchased by Aman, => 3x = (120/100) × 40 => x = 16 Therefore, number of pencils purchased by Aman = 3x = 48 And number of pencils purchased by Rahul = 5x = 80 Required % = [(60 – 40)/60] × 100 = 33.33%

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