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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.

Rahul purchased pencils from two different shops A and B in the ratio 3:7 respectively. Find the number of pencils he purchased from shop A.

A 21 Correct Answer Incorrect Answer
B 28 Correct Answer Incorrect Answer
C 24 Correct Answer Incorrect Answer
D 22 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 Number of pencils he purchased from shop A = 80 × (3/10) = 24

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