JIPMAT 2022 (QA) - If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total? | PYQs + Solutions

JIPMAT 2022

Arithmetic

Time & Work

Conceptual

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?

108

120

Correct Option: 4

A does

\frac{1}{4}

work in 3 days

So in 1 day, A does

\frac{1}{12}

work

B does

\frac{1}{6}

work in 4 days

So in 1 day, B does

\frac{1}{24}

work

Together in 1 day they do

\frac{1}{12} + \frac{1}{24} = \frac{3}{24}

work

Their ratio of work =

\frac{1/12}{1/24} = 2:1

Therefore A:B = 2:1

Of ₹180, A will get

\frac{2}{3} × 180 = ₹120

Therefore, A will get ₹120.

Related questions:

JIPMAT 2021

4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it?

JIPMAT 2021

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

JIPMAT 2023

Given below are two statements:

Statement (I): $\newline$ 4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.

Statement (II):

\newline

The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days.

Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.

In light of the above statements, choose the most appropriate answer from the options given below.

JIPMAT 2022 (QA) PYQs

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?

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