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The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:_________?

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The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:_________?

A. 989, 1501
B. 1011, 1479
C. 1401, 1089
D. 1411, 1079
Explanation:
Let the number be x and (2490 – x).
Then 6.5 % of x = 8.5 % of (2490 – x)
=> 6.5/100 × x = 8.5/100 × (2490 – x)
=> 65x/1000 = 85(2490 – x)/1000
=> 65x = (85 × 2490) – 85x
=> 150x =(85 × 2490)
=> x = 211650/150 = 1411
Hence the numbers are 1411 and (2490 – 1411) = 1079