Intensive classes for GMAT in Madras, Bombay and Bangalore in India. Weekend & Weekday classes. Includes study material and tests. Tutors include 98%ilers in GMAT & ISB / IIM Graduates.

You are here: Home » GMAT Test Prep Problem » Ratio & Proportion » Question 3

The GMAT Sample Math question is from the topic Ratio Proportion and is about sharing wages in proportion to the amount of work done.

A, B and C, each of them working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what ill be C's share of the earnings?

1. $1100
2. $520
3. $1080
4. $1170
5. $630
   
   

The correct choice is (B) and the correct answer is $520.

A, B and C will share the amount of $2340 in the ratio of the amounts of work done by them.

As A takes 6 days to complete the job, if A works alone, A will be able to complete th of the work in a day.

Similarly, B will complete th and C will complete th of the work.

So, the ratio of the work done by A : B : C when they work together will be equal to

Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.
We get = 4 : 3 : 2.
i.e., the ratio in which A : B : C will share $2340 will be 4 : 3 : 2.

Hence, C's share will be = 520.