IMO D

rohitgoel15 wrote:

Martina earns one-sixth of her annual income during the month of June and one-eighth in August. Pam earns one-third of her annual income in June and one-fourth in August. Martina's earnings for June and August equal Pam's earnings for the same period. What portion of their combined annual income do the two girls earn during the ten months NOT including June and August?

(A) 1/8

(B) 7/24

(C) 7/18

(D) 11/18

(E) 7/8

Solution:

Lets assume that Martina earns 6000 in the entire year and Pam earns 3000 during the annual year.

So, Martina:

June = 1000 (1/6)

August = 750 (1/8)

For Pam:

June = 1000 (1/3)

August = 750 (1/4)Since both their earnings are same for these 2 months (If you carefully observe, the ratios for Martina in those 2 months have just been halved for respective months as compared to Pam's). so net earnings for the entire year would be double for the income in those 2 months to be same.

So total earnings for both in the annual year = 9900

Earnings from June & August = 1750 + 1750 = 3500

Earnings during rest of the year = 5500= 5500/9000 = 11/18.

I hope everything is clear..

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