# QA – Placement Quizzes | Algebra | Question 10

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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