LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
133 views
in Aptitude by (30.0k points)
closed by
A and B undertake to do a piece of work for Rs. 6,000. A alone can do it in 6 days and B alone can do it in 8 days. With the help of C, they finish it in 3 days. The share of C in the amount is
1. Rs. 3,000
2. Rs. 2,250
3. Rs. 750
4. Rs. 1,500

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 3 : Rs. 750

Given:

Amount of a piece of work = 6000

Time is taken by A alone = 6 days

Time is taken by B alone = 8 days

A, B and C work together = 3 days

Formula used: 

The efficiency = Total work/Time

Calculation:

Let total work be 24 (LCM of 6, 8 and 3)

⇒ The efficiency of A = 24/6 = 4

⇒ The efficiency of B = 24/8 = 3

⇒ The efficiency of (A + B + C) = 24/3 = 8

⇒ The efficiency of C = 8 - (4 + 3) = 1

⇒ The share of C = 6000 × 1/8

⇒ The share of C = 750

∴ The share of C is Rs 750.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...