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:** **(A)** **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.

Quiz of this Question

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