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If 39% of first number is equal to eight-ninths of second number, what is the ratio of first number to the second number?
Question

If 39% of first number is equal to eight-ninths of second number, what is the ratio of first number to the second number?

A.

805 : 353

B.

804 : 348

C.

796 : 347

D.

800 : 351

Correct option is D

Given:

39% of first number (A) = \frac{8}{9} of second number (B)

Solution:

39100A=89B\frac{39}{100}A = \frac{8}{9}B​​

(39 × 9)A = (8 × 100) B

351A = 800B

AB=800351\frac{A}{B} = \frac{800}{351}​​

So, the ratio of first number to second number:

A : B = 800 : 351

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