Question

Riyaz and Preethi can do a work in 4 and 5 days respectively. By working together, they have completed the work. If the share Riyaz got for the work is $₹$35. Find the total money given to them.

• A. $₹$65
• B. $₹$73
• C. $₹$63
• D. $₹$70

Answer 1

The correct option is C $₹$63

Given that
Riyaz can complete the work in 4 days
Preethi can complete the work in 5 days
One day work of Riyaz is $\frac{1}{4}$
One day work of Preethi is $\frac{1}{5}$
The ratio of their shares will be $\frac{1}{4}:\frac{1}{5}=5:4$
Total parts are 9
Now, Riyaz got $₹35$
so,
Let x be the total amount given for both of their work.
$\frac{5}{9}\times x=₹35x=\frac{9}{5}\times 35=7\times 9=₹63$
Hence, option c is the correct answer.