Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Law
  • Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work i

Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?

a.Rs.64

b.Rs.58

c.Rs.48

d.Rs.52

Answers (1)

best_answer

Given- 

  • Sreedhar and Sravan together can complete the work in 25 days.
  • With the help of Pavan, they complete the work in 8 days and earn Rs. 225.
  • Sreedhar alone can complete the work in 75 days

To find - Sravan's share

Solution- Sreedhar and Sravan together can complete the work in 25 days. So, their combined rate of work is: $\frac{1}{25}$
Sreedhar can complete the work in 75 days, so his rate of work is: $\frac{1}{75}$
Let Sravan's rate of work be $\frac{1}{x}$ per day. So, the combined rate of Sreedhar and Sravan together is: $\frac{1}{75} + \frac{1}{x} = \frac{1}{25}$
To solve for $x$, subtract $\frac{1}{75}$ from both sides: $\frac{1}{x} = \frac{1}{25} - \frac{1}{75}$
Now, find the common denominator (75): $\frac{1}{x} = \frac{3}{75} - \frac{1}{75} = \frac{2}{75}$
So, $x = \frac{75}{2} = 37.5$
Therefore, Sravan can complete the work in 37.5 days.
Sreedhar, Sravan, and Pavan together completed the work in 8 days, so their combined rate of work is: $\frac{1}{8}$
Let Pavan's rate of work be $\frac{1}{y}$. The combined rate is:
$\frac{1}{75} + \frac{2}{75} + \frac{1}{y} = \frac{1}{8}$

Simplify: $\frac{3}{75} + \frac{1}{y} = \frac{1}{8}$
$\frac{1}{y} = \frac{1}{8} - \frac{3}{75}$
$\frac{1}{y} = \frac{1}{8} - \frac{1}{25}$
$\frac{1}{y} = \frac{25}{200} - \frac{8}{200} = \frac{17}{200}$

Thus,$y = \frac{200}{17} \approx 11.76$
Pavan can complete the work in approximately 11.76 days.
To determine Sravan's share- The total earnings for the work are Rs. 225. We now calculate Sravan's share based on his work contribution.
The total rate of work for Sreedhar, Sravan, and Pavan together is $\frac{1}{8}$. Sravan's rate of work is $\frac{2}{75}$.
The proportion of Sravan's work contribution is: $\frac{\frac{2}{75}}{\frac{1}{8}} = \frac{2}{75} \times \frac{8}{1} = \frac{16}{75}$
Now, calculate Sravan's share of the Rs. 225: $\text{Sravan's share} = \frac{16}{75} \times 225 = 48$

Hence, the correct answer is option c)Rs. 48.

Posted by

Saniya Khatri

View full answer

Similar Questions

Trending Articles/News

anam-khan

CLAT UG 2025 third merit list out for 5-year LLB, LLM; confirm seat by June 23

Latest Question