Alices take-home pay last year was the same each month, and she saved

If we read in one go, we realize that there's a lot of data it might get confusing.

Break it into parts

(1) Alice’s take-home pay last year was the same each month. Let this be = x


(2) She saved the same fraction of her take-home pay each month. Let this be = y


(3) The total amount of money that she had saved at the end of the year = 12y


(4) was 3 times the amount of that portion of her monthly take-home pay that she did NOT save.

Amount not saved every month = amount spent every month = earned - saved = x - y


Therefore 12y = 3(x - y)

12y = 3x - 3y

3x = 15y

x = 5y




(5) If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?


Basically what is \(\frac{y}{x} = \frac{y}{5y} = \frac{1}{5}\)


Option D

Arun Kumar