Question

Ramu alone can do a piece of work in 9 days and somu alone in 12 days. Ramu and somu under took to do it for Rs 3600. With help of Gopi they completed the work in 3 days. How much is to be paid to Gopi ?​

Answer 1

Answer:

HEY THERE SOMU IS MY ENGLISH TEACHER'S NAME LOL

Answer 2

Gopi will be paid 1500 Rs.

Step-by-step explanation:

Ramu takes time to do a work = 9 days

his work done in one day = $\frac{1}{9}$

Somu takes time to do a work = 12 days

his work done in one day = $\frac{1}{12}$

Gopi's work done in one day = $\frac{1}{3}-(\frac{1}{9} +\frac{1}{12})$

                                                = $\frac{1}{3}-\frac{7}{36}$

                                                = $\frac{12-7}{36}$

                                                = $\frac{5}{36}$

Ramu's wages : Somu's wages : Gopis wages

$\frac{1}{9} :\frac{1}{12} :\frac{5}{36}$ = 4 : 3 : 5

Now share of Gopi = $3600\times \frac{5}{(4+3+5)}$

                                = $\frac{5\times 3600}{12}$

                                = 1500 Rs.

Gopi will be paid 1500 Rs.

Learn more work time problem : https://brainly.in/question/6258002