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QA – Placement Quizzes | Algebra | Question 10

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4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number? (A) 630 (B) 63 (C) 315 (D) 105

Answer: (C)

Explanation: Let the number be x. Then, 4/15 of 5x/7 = 4/9 of 2x/5 + 8 4/15 * 5x/7 = 4/9 * 2x/5 + 8 4x/21 = 8x/45 + 8 x/21 = 2x/45 + 2 x/21 = (2x + 90)/45 45x = 21(2x + 90) 45x = 42x + 90*21 3x = 90*21 x = 30*21 = 630. Half of the number will be x/2 x/2 = 630/2 = 315.

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Last Updated : 22 Oct, 2020
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