phoenix9801 wrote:

Any help please. the book did not provide any answer. Thanks

A firm is comprised of partners and associates in a ratio of 2:65. Were 75 more associates hired, the ratio of partners to associates would be 4 to 155. How many partners are currently in the firm?

A. 5

B. 10

C. 12

D. 20

E. 25

Don't do big numbers calculation or you will fall into time trap.

Notice that the original ratio is 2:65 and the later ratio after the hire is 4:155. So the number of Partners should be divisible to both 2 and 4. Eliminate A,B, and E.

Now, pick either C or D to test (if it correct, choose it, if not, choose the other).

Let pick C: if the original partner is 12, then the original ratio will be 12:(6x65) *again, dont do big number calculation*

After the hiring, the ratio should be 12:(6x65 +75)

Now take 3 out as the multiple (3x4):(3x(2.65+25))

Cancel out the 3 we have 4:155 correct

So choice C.

Should take you about 1:20-maximum 2 min